556645440 has 336 divisors, whose sum is σ = 1981248768. Its totient is φ = 132268032.

The previous prime is 556645423. The next prime is 556645477. The reversal of 556645440 is 44546655.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7625244 + ... + 7625316.

Almost surely, 2^556645440 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 556645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990624384).

556645440 is an abundant number, since it is smaller than the sum of its proper divisors (1424603328).

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

556645440 is a wasteful number, since it uses less digits than its factorization.

556645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The square root of 556645440 is about 23593.3346519732. The cubic root of 556645440 is about 822.6079175232.

The spelling of 556645440 in words is "five hundred fifty-six million, six hundred forty-five thousand, four hundred forty".