56430080 has 160 divisors (see below), whose sum is σ = 160275456. Its totient is φ = 18653184.

The previous prime is 56430079. The next prime is 56430083. The reversal of 56430080 is 8003465.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56430083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842207 + ... + 842273.

Almost surely, 2^56430080 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 56430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80137728).

56430080 is an abundant number, since it is smaller than the sum of its proper divisors (103845376).

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

56430080 is an equidigital number, since it uses as much as digits as its factorization.

56430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 56430080 is about 7511.9957401479. The cubic root of 56430080 is about 383.5631606463.

The spelling of 56430080 in words is "fifty-six million, four hundred thirty thousand, eighty".