45058032 has 70 divisors (see below), whose sum is σ = 130923912. Its totient is φ = 15015456.

The previous prime is 45058001. The next prime is 45058043. The reversal of 45058032 is 23085054.

45058032 is a `hidden beast` number, since 4 + 50 + 580 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 45057987 and 45058005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 9733 + ... + 13595.

Almost surely, 2^45058032 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 45058032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65461956).

45058032 is an abundant number, since it is smaller than the sum of its proper divisors (85865880).

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

45058032 is an equidigital number, since it uses as much as digits as its factorization.

45058032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889 (or 3868 counting only the distinct ones).

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

The square root of 45058032 is about 6712.5279887685. The cubic root of 45058032 is about 355.8421637567.

The spelling of 45058032 in words is "forty-five million, fifty-eight thousand, thirty-two".