54406800 has 360 divisors, whose sum is σ = 230270976. Its totient is φ = 11612160.

The previous prime is 54406787. The next prime is 54406811. The reversal of 54406800 is 860445.

54406800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 428337 + ... + 428463.

Almost surely, 2^54406800 is an apocalyptic number.

54406800 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 54406800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115135488).

54406800 is an abundant number, since it is smaller than the sum of its proper divisors (175864176).

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

54406800 is a wasteful number, since it uses less digits than its factorization.

54406800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 54406800 is about 7376.0965286525. The cubic root of 54406800 is about 378.9230820205.

The spelling of 54406800 in words is "fifty-four million, four hundred six thousand, eight hundred".