56543400 has 192 divisors, whose sum is σ = 200731200. Its totient is φ = 14618880.

The previous prime is 56543353. The next prime is 56543429. The reversal of 56543400 is 434565.

56543400 is a `hidden beast` number, since 5 + 654 + 3 + 4 + 0 + 0 = 666.

56543400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199659 + ... + 199941.

It is an arithmetic number, because the mean of its divisors is an integer number (1045475).

Almost surely, 2^56543400 is an apocalyptic number.

56543400 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 56543400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100365600).

56543400 is an abundant number, since it is smaller than the sum of its proper divisors (144187800).

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

56543400 is a wasteful number, since it uses less digits than its factorization.

56543400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 56543400 is about 7519.5345600642. The cubic root of 56543400 is about 383.8197396127.

Adding to 56543400 its reverse (434565), we get a palindrome (56977965).

The spelling of 56543400 in words is "fifty-six million, five hundred forty-three thousand, four hundred".