45624384 has 140 divisors (see below), whose sum is σ = 145863564. Its totient is φ = 14017536.

The previous prime is 45624373. The next prime is 45624391. The reversal of 45624384 is 48342654.

It can be written as a sum of positive squares in 2 ways, for example, as 29942784 + 15681600 = 5472^2 + 3960^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67054 + ... + 67730.

Almost surely, 2^45624384 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 45624384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72931782).

45624384 is an abundant number, since it is smaller than the sum of its proper divisors (100239180).

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

45624384 is a wasteful number, since it uses less digits than its factorization.

45624384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 695 counting only the distinct ones).

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

The square root of 45624384 is about 6754.5824445335. The cubic root of 45624384 is about 357.3268667922.

The spelling of 45624384 in words is "forty-five million, six hundred twenty-four thousand, three hundred eighty-four".