56430720 has 192 divisors, whose sum is σ = 198820440. Its totient is φ = 14745600.

The previous prime is 56430709. The next prime is 56430761. The reversal of 56430720 is 2703465.

It is a happy number.

56430720 is a `hidden beast` number, since 564 + 30 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54287424 + 2143296 = 7368^2 + 1464^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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, 558670 + ... + 558770.

Almost surely, 2^56430720 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 56430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99410220).

56430720 is an abundant number, since it is smaller than the sum of its proper divisors (142389720).

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

56430720 is a wasteful number, since it uses less digits than its factorization.

56430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 56430720 is about 7512.0383385603. The cubic root of 56430720 is about 383.5646106974.

The spelling of 56430720 in words is "fifty-six million, four hundred thirty thousand, seven hundred twenty".