557002656 has 216 divisors, whose sum is σ = 1884748320. Its totient is φ = 158723712.

The previous prime is 557002573. The next prime is 557002697. The reversal of 557002656 is 656200755.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 557002656.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1469475 + ... + 1469853.

Almost surely, 2^557002656 is an apocalyptic number.

557002656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557002656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942374160).

557002656 is an abundant number, since it is smaller than the sum of its proper divisors (1327745664).

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

557002656 is an frugal number, since it uses more digits than its factorization.

557002656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 557002656 is about 23600.9037115107. The cubic root of 557002656 is about 822.7838439173.

The spelling of 557002656 in words is "five hundred fifty-seven million, two thousand, six hundred fifty-six".