54812400 has 60 divisors (see below), whose sum is σ = 175586232. Its totient is φ = 14616320.

The previous prime is 54812393. The next prime is 54812419. The reversal of 54812400 is 421845.

54812400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 21639 + ... + 24038.

Almost surely, 2^54812400 is an apocalyptic number.

54812400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54812400 is an abundant number, since it is smaller than the sum of its proper divisors (120773832).

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

54812400 is a wasteful number, since it uses less digits than its factorization.

54812400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45698 (or 45687 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 54812400 is about 7403.5396939572. The cubic root of 54812400 is about 379.8623693641.

The spelling of 54812400 in words is "fifty-four million, eight hundred twelve thousand, four hundred".