45580032 has 108 divisors (see below), whose sum is σ = 133710304. Its totient is φ = 14929920.

The previous prime is 45580001. The next prime is 45580039. The reversal of 45580032 is 23008554.

It is a junction number, because it is equal to n+sod(n) for n = 45579978 and 45580005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45580039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168057 + ... + 168327.

Almost surely, 2^45580032 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 45580032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66855152).

45580032 is an abundant number, since it is smaller than the sum of its proper divisors (88130272).

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

45580032 is a wasteful number, since it uses less digits than its factorization.

45580032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 45580032 is about 6751.2985417622. The cubic root of 45580032 is about 357.2110420367.

Adding to 45580032 its reverse (23008554), we get a palindrome (68588586).

The spelling of 45580032 in words is "forty-five million, five hundred eighty thousand, thirty-two".