54582400 has 96 divisors (see below), whose sum is σ = 138780180. Its totient is φ = 21196800.

The previous prime is 54582397. The next prime is 54582401. The reversal of 54582400 is 428545.

It can be written as a sum of positive squares in 6 ways, for example, as 26956864 + 27625536 = 5192^2 + 5256^2 .

It is a hoax number, since the sum of its digits (28) 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 (54582401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118170 + ... + 118630.

Almost surely, 2^54582400 is an apocalyptic number.

54582400 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 54582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69390090).

54582400 is an abundant number, since it is smaller than the sum of its proper divisors (84197780).

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

54582400 is a wasteful number, since it uses less digits than its factorization.

54582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 54582400 is about 7387.9902544603. The cubic root of 54582400 is about 379.3303070714.

The spelling of 54582400 in words is "fifty-four million, five hundred eighty-two thousand, four hundred".