557337664 has 63 divisors (see below), whose sum is σ = 1202884437. Its totient is φ = 256099584.

The previous prime is 557337647. The next prime is 557337667. The reversal of 557337664 is 466733755.

The square root of 557337664 is 23608.

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

It can be written as a sum of positive squares in only one way, i.e., 82446400 + 474891264 = 9080^2 + 21792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (557337667) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2455119 + ... + 2455345.

Almost surely, 2^557337664 is an apocalyptic number.

557337664 is the 23608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557337664

557337664 is an abundant number, since it is smaller than the sum of its proper divisors (645546773).

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

557337664 is an equidigital number, since it uses as much as digits as its factorization.

557337664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 242 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 46.

The cubic root of 557337664 is about 822.9487646913.

Multiplying 557337664 by its product of digits (1587600), we get a square (884829275366400 = 29746080²).

The spelling of 557337664 in words is "five hundred fifty-seven million, three hundred thirty-seven thousand, six hundred sixty-four".