54532800 has 252 divisors, whose sum is σ = 221920816. Its totient is φ = 12441600.

The previous prime is 54532781. The next prime is 54532801. The reversal of 54532800 is 823545.

54532800 is a `hidden beast` number, since 54 + 532 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (54532801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100530 + ... + 101070.

Almost surely, 2^54532800 is an apocalyptic number.

54532800 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 54532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110960408).

54532800 is an abundant number, since it is smaller than the sum of its proper divisors (167388016).

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

54532800 is a wasteful number, since it uses less digits than its factorization.

54532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 54532800 is about 7384.6326922874. The cubic root of 54532800 is about 379.2153708452.

The spelling of 54532800 in words is "fifty-four million, five hundred thirty-two thousand, eight hundred".