54464400 has 225 divisors, whose sum is σ = 200352163. Its totient is φ = 14169600.

The previous prime is 54464387. The next prime is 54464411. The reversal of 54464400 is 446445.

The square root of 54464400 is 7380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 22924944 + 31539456 = 4788^2 + 5616^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1328380 + ... + 1328420.

Almost surely, 2^54464400 is an apocalyptic number.

54464400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54464400 is the 7380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54464400

54464400 is an abundant number, since it is smaller than the sum of its proper divisors (145887763).

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

54464400 is a wasteful number, since it uses less digits than its factorization.

54464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The cubic root of 54464400 is about 379.0567557018.

The spelling of 54464400 in words is "fifty-four million, four hundred sixty-four thousand, four hundred".