45645824 has 64 divisors (see below), whose sum is σ = 104856000. Its totient is φ = 19464192.

The previous prime is 45645791. The next prime is 45645863. The reversal of 45645824 is 42854654.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 229277 + ... + 229475.

It is an arithmetic number, because the mean of its divisors is an integer number (1638375).

Almost surely, 2^45645824 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 45645824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52428000).

45645824 is an abundant number, since it is smaller than the sum of its proper divisors (59210176).

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

45645824 is an frugal number, since it uses more digits than its factorization.

45645824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 208 counting only the distinct ones).

The product of its digits is 153600, while the sum is 38.

The square root of 45645824 is about 6756.1693288431. The cubic root of 45645824 is about 357.3828302020.

The spelling of 45645824 in words is "forty-five million, six hundred forty-five thousand, eight hundred twenty-four".