54564400 has 60 divisors (see below), whose sum is σ = 143019864. Its totient is φ = 19840000.

The previous prime is 54564383. The next prime is 54564467. The reversal of 54564400 is 446545.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1801 + ... + 10600.

Almost surely, 2^54564400 is an apocalyptic number.

54564400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54564400 is an abundant number, since it is smaller than the sum of its proper divisors (88455464).

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

54564400 is a wasteful number, since it uses less digits than its factorization.

54564400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12430 (or 12419 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 54564400 is about 7386.7719607417. The cubic root of 54564400 is about 379.2886043966.

The spelling of 54564400 in words is "fifty-four million, five hundred sixty-four thousand, four hundred".