45424672 has 48 divisors (see below), whose sum is σ = 95558400. Its totient is φ = 21208320.

The previous prime is 45424661. The next prime is 45424681. The reversal of 45424672 is 27642454.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27979 + ... + 29557.

It is an arithmetic number, because the mean of its divisors is an integer number (1990800).

Almost surely, 2^45424672 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 45424672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47779200).

45424672 is an abundant number, since it is smaller than the sum of its proper divisors (50133728).

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

45424672 is a wasteful number, since it uses less digits than its factorization.

45424672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1641 counting only the distinct ones).

The product of its digits is 53760, while the sum is 34.

The square root of 45424672 is about 6739.7827858174. The cubic root of 45424672 is about 356.8047275611.

The spelling of 45424672 in words is "forty-five million, four hundred twenty-four thousand, six hundred seventy-two".