56584400 has 30 divisors (see below), whose sum is σ = 135944982. Its totient is φ = 22633600.

The previous prime is 56584399. The next prime is 56584403. The reversal of 56584400 is 448565.

It can be written as a sum of positive squares in 3 ways, for example, as 394384 + 56190016 = 628^2 + 7496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56584403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70331 + ... + 71130.

Almost surely, 2^56584400 is an apocalyptic number.

56584400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56584400 is an abundant number, since it is smaller than the sum of its proper divisors (79360582).

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

56584400 is a wasteful number, since it uses less digits than its factorization.

56584400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141479 (or 141468 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 56584400 is about 7522.2602986071. The cubic root of 56584400 is about 383.9124872914.

The spelling of 56584400 in words is "fifty-six million, five hundred eighty-four thousand, four hundred".