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494484480 = 2103357273
BaseRepresentation
bin11101011110010…
…011110000000000
31021110110102012000
4131132103300000
52003042000410
6121022304000
715153022500
oct3536236000
91243412160
10494484480
1123413a566
12119728000
137b5a3789
144995ba00
152d628dc0
hex1d793c00

494484480 has 528 divisors, whose sum is σ = 2072219040. Its totient is φ = 111476736.

The previous prime is 494484479. The next prime is 494484493. The reversal of 494484480 is 84484494.

494484480 is a `hidden beast` number, since 4 + 94 + 4 + 84 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6773724 + ... + 6773796.

Almost surely, 2494484480 is an apocalyptic number.

494484480 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 494484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036109520).

494484480 is an abundant number, since it is smaller than the sum of its proper divisors (1577734560).

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

494484480 is a wasteful number, since it uses less digits than its factorization.

494484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 494484480 is about 22237.0069928487. The cubic root of 494484480 is about 790.7712811453.

The spelling of 494484480 in words is "four hundred ninety-four million, four hundred eighty-four thousand, four hundred eighty".