56214400 has 96 divisors (see below), whose sum is σ = 151586280. Its totient is φ = 20428800.

The previous prime is 56214329. The next prime is 56214401. The reversal of 56214400 is 441265.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56214401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34402 + ... + 35998.

Almost surely, 2^56214400 is an apocalyptic number.

56214400 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 56214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75793140).

56214400 is an abundant number, since it is smaller than the sum of its proper divisors (95371880).

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

56214400 is a wasteful number, since it uses less digits than its factorization.

56214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 56214400 is about 7497.6262910337. The cubic root of 56214400 is about 383.0738676841.

Adding to 56214400 its reverse (441265), we get a palindrome (56655665).

The spelling of 56214400 in words is "fifty-six million, two hundred fourteen thousand, four hundred".