556994880 has 672 divisors, whose sum is σ = 2329891200. Its totient is φ = 125411328.

The previous prime is 556994863. The next prime is 556994917. The reversal of 556994880 is 88499655.

It is a happy number.

556994880 is a `hidden beast` number, since 556 + 9 + 9 + 4 + 8 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19206706 + ... + 19206734.

It is an arithmetic number, because the mean of its divisors is an integer number (3467100).

Almost surely, 2^556994880 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 556994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164945600).

556994880 is an abundant number, since it is smaller than the sum of its proper divisors (1772896320).

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

556994880 is a wasteful number, since it uses less digits than its factorization.

556994880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 556994880 is about 23600.7389714814. The cubic root of 556994880 is about 822.7800150923.

The spelling of 556994880 in words is "five hundred fifty-six million, nine hundred ninety-four thousand, eight hundred eighty".