45264744 has 160 divisors (see below), whose sum is σ = 153679680. Its totient is φ = 12151296.

The previous prime is 45264721. The next prime is 45264773. The reversal of 45264744 is 44746254.

45264744 is a `hidden beast` number, since 4 + 5 + 2 + 647 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 45264699 and 45264708.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76819 + ... + 77405.

It is an arithmetic number, because the mean of its divisors is an integer number (960498).

Almost surely, 2^45264744 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 45264744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76839840).

45264744 is an abundant number, since it is smaller than the sum of its proper divisors (108414936).

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

45264744 is a wasteful number, since it uses less digits than its factorization.

45264744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 616 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 45264744 is about 6727.9078471691. The cubic root of 45264744 is about 356.3854974883.

The spelling of 45264744 in words is "forty-five million, two hundred sixty-four thousand, seven hundred forty-four".