56201400 has 72 divisors (see below), whose sum is σ = 188749080. Its totient is φ = 14986560.

The previous prime is 56201377. The next prime is 56201413. The reversal of 56201400 is 410265.

It is a happy number.

56201400 is a `hidden beast` number, since 5 + 620 + 1 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13812 + ... + 17411.

It is an arithmetic number, because the mean of its divisors is an integer number (2621515).

Almost surely, 2^56201400 is an apocalyptic number.

56201400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56201400 is an abundant number, since it is smaller than the sum of its proper divisors (132547680).

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

56201400 is a wasteful number, since it uses less digits than its factorization.

56201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31245 (or 31233 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 56201400 is about 7496.7592998575. The cubic root of 56201400 is about 383.0443358429.

Adding to 56201400 its reverse (410265), we get a palindrome (56611665).

The spelling of 56201400 in words is "fifty-six million, two hundred one thousand, four hundred".