54476800 has 180 divisors, whose sum is σ = 162524320. Its totient is φ = 17694720.

The previous prime is 54476797. The next prime is 54476833. The reversal of 54476800 is 867445.

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, 2867191 + ... + 2867209.

Almost surely, 2^54476800 is an apocalyptic number.

54476800 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 54476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81262160).

54476800 is an abundant number, since it is smaller than the sum of its proper divisors (108047520).

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

54476800 is an equidigital number, since it uses as much as digits as its factorization.

54476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 54476800 is about 7380.8400605893. The cubic root of 54476800 is about 379.0855203451.

The spelling of 54476800 in words is "fifty-four million, four hundred seventy-six thousand, eight hundred".