54578400 has 72 divisors (see below), whose sum is σ = 177660504. Its totient is φ = 14553600.

The previous prime is 54578357. The next prime is 54578413. The reversal of 54578400 is 487545.

It is a super-3 number, since 3×54578400³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8971 + ... + 13770.

It is an arithmetic number, because the mean of its divisors is an integer number (2467507).

Almost surely, 2^54578400 is an apocalyptic number.

54578400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54578400 is an abundant number, since it is smaller than the sum of its proper divisors (123082104).

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

54578400 is a wasteful number, since it uses less digits than its factorization.

54578400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22764 (or 22751 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 54578400 is about 7387.7195398851. The cubic root of 54578400 is about 379.3210406027.

The spelling of 54578400 in words is "fifty-four million, five hundred seventy-eight thousand, four hundred".