657204496 has 135 divisors (see below), whose sum is σ = 1516943181. Its totient is φ = 275638272.

The previous prime is 657204463. The next prime is 657204503. The reversal of 657204496 is 694402756.

It is a happy number.

The square root of 657204496 is 25636.

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

It can be written as a sum of positive squares in 13 ways, for example, as 374964496 + 282240000 = 19364^2 + 16800^2 .

It is a super-2 number, since 2×657204496² = 863835499125228032, which contains 22 as substring.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 22662210 + ... + 22662238.

Almost surely, 2^657204496 is an apocalyptic number.

657204496 is the 25636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 657204496

657204496 is an abundant number, since it is smaller than the sum of its proper divisors (859738685).

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

657204496 is a wasteful number, since it uses less digits than its factorization.

657204496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The cubic root of 657204496 is about 869.4277718570.

The spelling of 657204496 in words is "six hundred fifty-seven million, two hundred four thousand, four hundred ninety-six".