54866400 has 72 divisors (see below), whose sum is σ = 178597944. Its totient is φ = 14630400.

The previous prime is 54866387. The next prime is 54866417. The reversal of 54866400 is 466845.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9031 + ... + 13830.

It is an arithmetic number, because the mean of its divisors is an integer number (2480527).

Almost surely, 2^54866400 is an apocalyptic number.

54866400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54866400 is an abundant number, since it is smaller than the sum of its proper divisors (123731544).

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

54866400 is a wasteful number, since it uses less digits than its factorization.

54866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22884 (or 22871 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 54866400 is about 7407.1857003858. The cubic root of 54866400 is about 379.9870725057.

It can be divided in two parts, 54 and 866400, that multiplied together give a square (46785600 = 6840²).

The spelling of 54866400 in words is "fifty-four million, eight hundred sixty-six thousand, four hundred".