45584620 has 48 divisors (see below), whose sum is σ = 102368448. Its totient is φ = 17008640.

The previous prime is 45584593. The next prime is 45584653. The reversal of 45584620 is 2648554.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17652 + ... + 20068.

It is an arithmetic number, because the mean of its divisors is an integer number (2132676).

Almost surely, 2^45584620 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 45584620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51184224).

45584620 is an abundant number, since it is smaller than the sum of its proper divisors (56783828).

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

45584620 is a wasteful number, since it uses less digits than its factorization.

45584620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 45584620 is about 6751.6383196969. The cubic root of 45584620 is about 357.2230270310.

The spelling of 45584620 in words is "forty-five million, five hundred eighty-four thousand, six hundred twenty".