556825920 has 448 divisors, whose sum is σ = 2162958336. Its totient is φ = 118702080.

The previous prime is 556825909. The next prime is 556825933. The reversal of 556825920 is 29528655.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 11847337 + ... + 11847383.

It is an arithmetic number, because the mean of its divisors is an integer number (4828032).

Almost surely, 2^556825920 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 556825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081479168).

556825920 is an abundant number, since it is smaller than the sum of its proper divisors (1606132416).

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

556825920 is a wasteful number, since it uses less digits than its factorization.

556825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 556825920 is about 23597.1591510504. The cubic root of 556825920 is about 822.6968120712.

The spelling of 556825920 in words is "five hundred fifty-six million, eight hundred twenty-five thousand, nine hundred twenty".