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497372480 = 265111011399
BaseRepresentation
bin11101101001010…
…100110101000000
31021122220010202222
4131221110311000
52004311404410
6121204230212
715216411353
oct3551246500
91248803688
10497372480
11235832340
1211a69b368
137c075157
144a0b029a
152d9e9955
hex1da54d40

497372480 has 112 divisors (see below), whose sum is σ = 1305763200. Its totient is φ = 178944000.

The previous prime is 497372479. The next prime is 497372483. The reversal of 497372480 is 84273794.

It is a super-2 number, since 2×4973724802 = 494758767722700800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497372483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354821 + ... + 356219.

It is an arithmetic number, because the mean of its divisors is an integer number (11658600).

Almost surely, 2497372480 is an apocalyptic number.

497372480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652881600).

497372480 is an abundant number, since it is smaller than the sum of its proper divisors (808390720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

497372480 is a wasteful number, since it uses less digits than its factorization.

497372480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The square root of 497372480 is about 22301.8492506787. The cubic root of 497372480 is about 792.3077741347.

The spelling of 497372480 in words is "four hundred ninety-seven million, three hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 101 110 160 176 202 220 320 352 404 440 505 704 808 880 1010 1111 1399 1616 1760 2020 2222 2798 3232 3520 4040 4444 5555 5596 6464 6995 8080 8888 11110 11192 13990 15389 16160 17776 22220 22384 27980 30778 32320 35552 44440 44768 55960 61556 71104 76945 88880 89536 111920 123112 141299 153890 177760 223840 246224 282598 307780 355520 447680 492448 565196 615560 706495 984896 1130392 1231120 1412990 1554289 2260784 2462240 2825980 3108578 4521568 4924480 5651960 6217156 7771445 9043136 11303920 12434312 15542890 22607840 24868624 31085780 45215680 49737248 62171560 99474496 124343120 248686240 497372480