556344720 has 320 divisors, whose sum is σ = 2062368000. Its totient is φ = 137355264.

The previous prime is 556344697. The next prime is 556344721. The reversal of 556344720 is 27443655.

556344720 is a `hidden beast` number, since 556 + 34 + 4 + 72 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (556344721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4002411 + ... + 4002549.

It is an arithmetic number, because the mean of its divisors is an integer number (6444900).

Almost surely, 2^556344720 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 556344720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031184000).

556344720 is an abundant number, since it is smaller than the sum of its proper divisors (1506023280).

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

556344720 is a wasteful number, since it uses less digits than its factorization.

556344720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 556344720 is about 23586.9608046480. The cubic root of 556344720 is about 822.4597566560.

556344720 divided by its sum of digits (36) gives a triangular number (15454020 = T₅₅₅₉).

The spelling of 556344720 in words is "five hundred fifty-six million, three hundred forty-four thousand, seven hundred twenty".