54436800 has 168 divisors, whose sum is σ = 195023232. Its totient is φ = 13184000.

The previous prime is 54436793. The next prime is 54436817. The reversal of 54436800 is 863445.

54436800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 52285 + ... + 53315.

Almost surely, 2^54436800 is an apocalyptic number.

54436800 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 54436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97511616).

54436800 is an abundant number, since it is smaller than the sum of its proper divisors (140586432).

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

54436800 is a wasteful number, since it uses less digits than its factorization.

54436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 54436800 is about 7378.1298443440. The cubic root of 54436800 is about 378.9927154960.

The spelling of 54436800 in words is "fifty-four million, four hundred thirty-six thousand, eight hundred".