497715264 has 84 divisors (see below), whose sum is σ = 1429693356. Its totient is φ = 165547008.

The previous prime is 497715263. The next prime is 497715269. The reversal of 497715264 is 462517794.

497715264 is a `hidden beast` number, since 497 + 7 + 152 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 487526400 = 3192^2 + 22080^2 .

It is not an unprimeable number, because it can be changed into a prime (497715263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 490822 + ... + 491834.

It is an arithmetic number, because the mean of its divisors is an integer number (17020159).

Almost surely, 2^497715264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497715264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714846678).

497715264 is an abundant number, since it is smaller than the sum of its proper divisors (931978092).

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

497715264 is a wasteful number, since it uses less digits than its factorization.

497715264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1871 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 497715264 is about 22309.5330296266. The cubic root of 497715264 is about 792.4897491269.

The spelling of 497715264 in words is "four hundred ninety-seven million, seven hundred fifteen thousand, two hundred sixty-four".