54482400 has 432 divisors, whose sum is σ = 233985024. Its totient is φ = 11658240.

The previous prime is 54482359. The next prime is 54482411. The reversal of 54482400 is 428445.

54482400 is a `hidden beast` number, since 544 + 82 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1159177 + ... + 1159223.

It is an arithmetic number, because the mean of its divisors is an integer number (541632).

Almost surely, 2^54482400 is an apocalyptic number.

54482400 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 54482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116992512).

54482400 is an abundant number, since it is smaller than the sum of its proper divisors (179502624).

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

54482400 is a wasteful number, since it uses less digits than its factorization.

54482400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 54482400 is about 7381.2194114523. The cubic root of 54482400 is about 379.0985093984.

It can be divided in two parts, 544 and 82400, that added together give a square (82944 = 288²).

The spelling of 54482400 in words is "fifty-four million, four hundred eighty-two thousand, four hundred".