56451584 has 80 divisors (see below), whose sum is σ = 135854400. Its totient is φ = 22892544.

The previous prime is 56451569. The next prime is 56451623. The reversal of 56451584 is 48515465.

It is a happy number.

It is a super-2 number, since 2×56451584² = 6373562672218112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67682 + ... + 68510.

It is an arithmetic number, because the mean of its divisors is an integer number (1698180).

Almost surely, 2^56451584 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 56451584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67927200).

56451584 is an abundant number, since it is smaller than the sum of its proper divisors (79402816).

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

56451584 is an equidigital number, since it uses as much as digits as its factorization.

56451584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 857 counting only the distinct ones).

The product of its digits is 96000, while the sum is 38.

The square root of 56451584 is about 7513.4269145311. The cubic root of 56451584 is about 383.6118763591.

The spelling of 56451584 in words is "fifty-six million, four hundred fifty-one thousand, five hundred eighty-four".