556440840 has 384 divisors, whose sum is σ = 2075673600. Its totient is φ = 133436160.

The previous prime is 556440779. The next prime is 556440851. The reversal of 556440840 is 48044655.

556440840 is a `hidden beast` number, since 5 + 5 + 644 + 0 + 8 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 556440795 and 556440804.

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 95 ways as a sum of consecutive naturals, for example, 4247575 + ... + 4247705.

It is an arithmetic number, because the mean of its divisors is an integer number (5405400).

Almost surely, 2^556440840 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 556440840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037836800).

556440840 is an abundant number, since it is smaller than the sum of its proper divisors (1519232760).

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

556440840 is a wasteful number, since it uses less digits than its factorization.

556440840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 556440840 is about 23588.9982830980. The cubic root of 556440840 is about 822.5071195449.

The spelling of 556440840 in words is "five hundred fifty-six million, four hundred forty thousand, eight hundred forty".