45506580 has 96 divisors (see below), whose sum is σ = 147254016. Its totient is φ = 10285056.

The previous prime is 45506579. The next prime is 45506609. The reversal of 45506580 is 8560554.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40182 + ... + 41298.

It is an arithmetic number, because the mean of its divisors is an integer number (1533896).

Almost surely, 2^45506580 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 45506580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73627008).

45506580 is an abundant number, since it is smaller than the sum of its proper divisors (101747436).

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

45506580 is a wasteful number, since it uses less digits than its factorization.

45506580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 45506580 is about 6745.8565060339. The cubic root of 45506580 is about 357.0190575865.

The spelling of 45506580 in words is "forty-five million, five hundred six thousand, five hundred eighty".