56387300 has 72 divisors (see below), whose sum is σ = 132882120. Its totient is φ = 20684800.

The previous prime is 56387293. The next prime is 56387321. The reversal of 56387300 is 378365.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 10797796 + 45589504 = 3286^2 + 6752^2 .

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, 69296 + ... + 70104.

It is an arithmetic number, because the mean of its divisors is an integer number (1845585).

Almost surely, 2^56387300 is an apocalyptic number.

56387300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56387300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66441060).

56387300 is an abundant number, since it is smaller than the sum of its proper divisors (76494820).

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

56387300 is a wasteful number, since it uses less digits than its factorization.

56387300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 56387300 is about 7509.1477545724. The cubic root of 56387300 is about 383.4662089242.

The spelling of 56387300 in words is "fifty-six million, three hundred eighty-seven thousand, three hundred".