54412800 has 240 divisors, whose sum is σ = 195352080. Its totient is φ = 13271040.

The previous prime is 54412747. The next prime is 54412807. The reversal of 54412800 is 821445.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54412807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499146 + ... + 499254.

It is an arithmetic number, because the mean of its divisors is an integer number (813967).

Almost surely, 2^54412800 is an apocalyptic number.

54412800 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 54412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97676040).

54412800 is an abundant number, since it is smaller than the sum of its proper divisors (140939280).

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

54412800 is a wasteful number, since it uses less digits than its factorization.

54412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 54412800 is about 7376.5032366291. The cubic root of 54412800 is about 378.9370107630.

The spelling of 54412800 in words is "fifty-four million, four hundred twelve thousand, eight hundred".