54432864 has 72 divisors (see below), whose sum is σ = 159397560. Its totient is φ = 18072000.

The previous prime is 54432841. The next prime is 54432901. The reversal of 54432864 is 46823445.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

54432864 is a `hidden beast` number, since 544 + 32 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (92160) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

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, 216739 + ... + 216989.

It is an arithmetic number, because the mean of its divisors is an integer number (2213855).

Almost surely, 2^54432864 is an apocalyptic number.

54432864 is a gapful number since it is divisible by the number (54) 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 54432864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79698780).

54432864 is an abundant number, since it is smaller than the sum of its proper divisors (104964696).

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

54432864 is an equidigital number, since it uses as much as digits as its factorization.

54432864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 256 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 54432864 is about 7377.8631052629. The cubic root of 54432864 is about 378.9835810423.

The spelling of 54432864 in words is "fifty-four million, four hundred thirty-two thousand, eight hundred sixty-four".