54588400 has 30 divisors (see below), whose sum is σ = 131149592. Its totient is φ = 21835200.

The previous prime is 54588397. The next prime is 54588419. The reversal of 54588400 is 488545.

54588400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 5 ways as a sum of consecutive naturals, for example, 67836 + ... + 68635.

Almost surely, 2^54588400 is an apocalyptic number.

54588400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54588400 is an abundant number, since it is smaller than the sum of its proper divisors (76561192).

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

54588400 is a wasteful number, since it uses less digits than its factorization.

54588400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136489 (or 136478 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 54588400 is about 7388.3963077247. The cubic root of 54588400 is about 379.3442059255.

The spelling of 54588400 in words is "fifty-four million, five hundred eighty-eight thousand, four hundred".