54838800 has 90 divisors (see below), whose sum is σ = 190318362. Its totient is φ = 14622720.

The previous prime is 54838799. The next prime is 54838811. The reversal of 54838800 is 883845.

54838800 is a `hidden beast` number, since 548 + 38 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 197136 + 54641664 = 444^2 + 7392^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4017 + ... + 11216.

Almost surely, 2^54838800 is an apocalyptic number.

54838800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54838800 is an abundant number, since it is smaller than the sum of its proper divisors (135479562).

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

54838800 is a wasteful number, since it uses less digits than its factorization.

54838800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15257 (or 15243 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 54838800 is about 7405.3224102668. The cubic root of 54838800 is about 379.9233455723.

The spelling of 54838800 in words is "fifty-four million, eight hundred thirty-eight thousand, eight hundred".