54416800 has 72 divisors (see below), whose sum is σ = 133866432. Its totient is φ = 21600000.

The previous prime is 54416777. The next prime is 54416807. The reversal of 54416800 is 861445.

54416800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54416800² = 5922376244480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54416807) by changing a digit.

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, 200665 + ... + 200935.

It is an arithmetic number, because the mean of its divisors is an integer number (1859256).

Almost surely, 2^54416800 is an apocalyptic number.

54416800 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 54416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66933216).

54416800 is an abundant number, since it is smaller than the sum of its proper divisors (79449632).

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

54416800 is a wasteful number, since it uses less digits than its factorization.

54416800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 54416800 is about 7376.7743628228. The cubic root of 54416800 is about 378.9462960225.

The spelling of 54416800 in words is "fifty-four million, four hundred sixteen thousand, eight hundred".