556459920 has 240 divisors, whose sum is σ = 1955446272. Its totient is φ = 141649920.

The previous prime is 556459867. The next prime is 556459979. The reversal of 556459920 is 29954655.

It is a happy number.

556459920 is a `hidden beast` number, since 5 + 56 + 4 + 599 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 2388124 + ... + 2388356.

Almost surely, 2^556459920 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 556459920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977723136).

556459920 is an abundant number, since it is smaller than the sum of its proper divisors (1398986352).

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

556459920 is a wasteful number, since it uses less digits than its factorization.

556459920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 556459920 is about 23589.4027054523. The cubic root of 556459920 is about 822.5165205182.

The spelling of 556459920 in words is "five hundred fifty-six million, four hundred fifty-nine thousand, nine hundred twenty".