56400500 has 48 divisors (see below), whose sum is σ = 132669264. Its totient is φ = 20822400.

The previous prime is 56400497. The next prime is 56400503. The reversal of 56400500 is 500465.

It is an interprime number because it is at equal distance from previous prime (56400497) and next prime (56400503).

It can be written as a sum of positive squares in 8 ways, for example, as 35952016 + 20448484 = 5996^2 + 4522^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56400503) 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, 2162 + ... + 10838.

It is an arithmetic number, because the mean of its divisors is an integer number (2763943).

Almost surely, 2^56400500 is an apocalyptic number.

56400500 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 56400500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66334632).

56400500 is an abundant number, since it is smaller than the sum of its proper divisors (76268764).

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

56400500 is a wasteful number, since it uses less digits than its factorization.

56400500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8709 (or 8697 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 56400500 is about 7510.0266311112. The cubic root of 56400500 is about 383.4961291310.

Adding to 56400500 its reverse (500465), we get a palindrome (56900965).

The spelling of 56400500 in words is "fifty-six million, four hundred thousand, five hundred".