556290720 has 192 divisors, whose sum is σ = 1979873280. Its totient is φ = 145843200.

The previous prime is 556290697. The next prime is 556290727. The reversal of 556290720 is 27092655.

556290720 is a `hidden beast` number, since 5 + 5 + 629 + 0 + 7 + 20 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (556290727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262465 + ... + 264575.

It is an arithmetic number, because the mean of its divisors is an integer number (10311840).

Almost surely, 2^556290720 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 556290720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989936640).

556290720 is an abundant number, since it is smaller than the sum of its proper divisors (1423582560).

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

556290720 is a wasteful number, since it uses less digits than its factorization.

556290720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 556290720 is about 23585.8160766169. The cubic root of 556290720 is about 822.4331458982.

The spelling of 556290720 in words is "five hundred fifty-six million, two hundred ninety thousand, seven hundred twenty".