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497480000 = 265412437
BaseRepresentation
bin11101101001101…
…111000101000000
31021200002121021012
4131221233011000
52004323330000
6121210420052
715220340003
oct3551570500
91250077235
10497480000
112358a60a6
1211a731628
137c0b2084
144a0db53a
152da1b735
hex1da6f140

497480000 has 70 divisors (see below), whose sum is σ = 1233687906. Its totient is φ = 198976000.

The previous prime is 497479987. The next prime is 497480003. The reversal of 497480000 is 84794.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 340328704 + 157151296 = 18448^2 + 12536^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497480003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 33782 + ... + 46218.

Almost surely, 2497480000 is an apocalyptic number.

497480000 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 497480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616843953).

497480000 is an abundant number, since it is smaller than the sum of its proper divisors (736207906).

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

497480000 is an equidigital number, since it uses as much as digits as its factorization.

497480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12469 (or 12444 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 497480000 is about 22304.2596828498. The cubic root of 497480000 is about 792.3648626665.

The spelling of 497480000 in words is "four hundred ninety-seven million, four hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 12437 20000 24874 40000 49748 62185 99496 124370 198992 248740 310925 397984 497480 621850 795968 994960 1243700 1554625 1989920 2487400 3109250 3979840 4974800 6218500 7773125 9949600 12437000 15546250 19899200 24874000 31092500 49748000 62185000 99496000 124370000 248740000 497480000