490976964 has 45 divisors (see below), whose sum is σ = 1284554271. Its totient is φ = 163526040.

The previous prime is 490976957. The next prime is 490976971. The reversal of 490976964 is 469679094.

The square root of 490976964 is 22158.

It is a perfect power (a square), and thus also a powerful number.

490976964 is a `hidden beast` number, since 490 + 97 + 6 + 9 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (490976957) and next prime (490976971).

It is a super-3 number, since 3×490976964³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 490976964.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 398229 + ... + 399459.

Almost surely, 2^490976964 is an apocalyptic number.

490976964 is the 22158-th square number.

It is an amenable number.

490976964 is an abundant number, since it is smaller than the sum of its proper divisors (793577307).

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

490976964 is an equidigital number, since it uses as much as digits as its factorization.

490976964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The cubic root of 490976964 is about 788.8971225867.

The spelling of 490976964 in words is "four hundred ninety million, nine hundred seventy-six thousand, nine hundred sixty-four".