556225920 has 128 divisors (see below), whose sum is σ = 1970028000. Its totient is φ = 148322304.

The previous prime is 556225903. The next prime is 556225949. The reversal of 556225920 is 29522655.

556225920 is a `hidden beast` number, since 5 + 5 + 62 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1186 + ... + 33374.

Almost surely, 2^556225920 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 556225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985014000).

556225920 is an abundant number, since it is smaller than the sum of its proper divisors (1413802080).

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

556225920 is a wasteful number, since it uses less digits than its factorization.

556225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32217 (or 32199 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 556225920 is about 23584.4423296376. The cubic root of 556225920 is about 822.4012107155.

The spelling of 556225920 in words is "five hundred fifty-six million, two hundred twenty-five thousand, nine hundred twenty".