54624384 has 48 divisors (see below), whose sum is σ = 157190670. Its totient is φ = 18207744.

The previous prime is 54624343. The next prime is 54624389. The reversal of 54624384 is 48342645.

It can be written as a sum of positive squares in only one way, i.e., 52881984 + 1742400 = 7272^2 + 1320^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (54624389) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22557 + ... + 24860.

Almost surely, 2^54624384 is an apocalyptic number.

It is an amenable number.

54624384 is an abundant number, since it is smaller than the sum of its proper divisors (102566286).

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

54624384 is a wasteful number, since it uses less digits than its factorization.

54624384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47437 (or 47422 counting only the distinct ones).

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

The square root of 54624384 is about 7390.8310764081. The cubic root of 54624384 is about 379.4275406244.

The spelling of 54624384 in words is "fifty-four million, six hundred twenty-four thousand, three hundred eighty-four".