56453760 has 336 divisors, whose sum is σ = 222414570. Its totient is φ = 13685760.

The previous prime is 56453729. The next prime is 56453773. The reversal of 56453760 is 6735465.

56453760 is a `hidden beast` number, since 5 + 64 + 537 + 60 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50808384 + 5645376 = 7128^2 + 2376^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 5132155 + ... + 5132165.

Almost surely, 2^56453760 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 56453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111207285).

56453760 is an abundant number, since it is smaller than the sum of its proper divisors (165960810).

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

56453760 is an equidigital number, since it uses as much as digits as its factorization.

56453760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 56453760 is about 7513.5717205601. The cubic root of 56453760 is about 383.6168052360.

The spelling of 56453760 in words is "fifty-six million, four hundred fifty-three thousand, seven hundred sixty".