54432264 has 64 divisors (see below), whose sum is σ = 145152000. Its totient is φ = 16960320.

The previous prime is 54432241. The next prime is 54432319. The reversal of 54432264 is 46223445.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35269 + ... + 36779.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 2^54432264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54432264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576000).

54432264 is an abundant number, since it is smaller than the sum of its proper divisors (90719736).

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

54432264 is a wasteful number, since it uses less digits than its factorization.

54432264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1614 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 54432264 is about 7377.8224429706. The cubic root of 54432264 is about 378.9821885564.

The spelling of 54432264 in words is "fifty-four million, four hundred thirty-two thousand, two hundred sixty-four".