556120440 has 96 divisors (see below), whose sum is σ = 1810364400. Its totient is φ = 148055040.

The previous prime is 556120423. The next prime is 556120447. The reversal of 556120440 is 44021655.

556120440 is a `hidden beast` number, since 5 + 5 + 612 + 0 + 4 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556120447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362475 + ... + 364005.

Almost surely, 2^556120440 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 556120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905182200).

556120440 is an abundant number, since it is smaller than the sum of its proper divisors (1254243960).

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

556120440 is a wasteful number, since it uses less digits than its factorization.

556120440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2557 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 556120440 is about 23582.2060036800. The cubic root of 556120440 is about 822.3492220298.

The spelling of 556120440 in words is "five hundred fifty-six million, one hundred twenty thousand, four hundred forty".