556953264 has 120 divisors (see below), whose sum is σ = 1786186272. Its totient is φ = 158699520.

The previous prime is 556953227. The next prime is 556953283. The reversal of 556953264 is 462359655.

556953264 is a `hidden beast` number, since 5 + 56 + 9 + 532 + 64 = 666.

It is a super-5 number, since 5×556953264⁵ (a number of 45 digits) contains 55555 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677974 + ... + 678794.

Almost surely, 2^556953264 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 556953264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893093136).

556953264 is an abundant number, since it is smaller than the sum of its proper divisors (1229233008).

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

556953264 is a wasteful number, since it uses less digits than its factorization.

556953264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1506 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The square root of 556953264 is about 23599.8572877041. The cubic root of 556953264 is about 822.7595231829.

The spelling of 556953264 in words is "five hundred fifty-six million, nine hundred fifty-three thousand, two hundred sixty-four".