556944480 has 144 divisors (see below), whose sum is σ = 2012459904. Its totient is φ = 139776000.

The previous prime is 556944433. The next prime is 556944503. The reversal of 556944480 is 84449655.

556944480 is a `hidden beast` number, since 5 + 569 + 4 + 4 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13105 + ... + 35855.

It is an arithmetic number, because the mean of its divisors is an integer number (13975416).

Almost surely, 2^556944480 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 556944480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006229952).

556944480 is an abundant number, since it is smaller than the sum of its proper divisors (1455515424).

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

556944480 is a wasteful number, since it uses less digits than its factorization.

556944480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22789 (or 22778 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 556944480 is about 23599.6711841500. The cubic root of 556944480 is about 822.7551977705.

The spelling of 556944480 in words is "five hundred fifty-six million, nine hundred forty-four thousand, four hundred eighty".