45580500 has 144 divisors (see below), whose sum is σ = 164446464. Its totient is φ = 10411200.

The previous prime is 45580439. The next prime is 45580501. The reversal of 45580500 is 508554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45580501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30777 + ... + 32223.

Almost surely, 2^45580500 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 45580500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82223232).

45580500 is an abundant number, since it is smaller than the sum of its proper divisors (118865964).

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

45580500 is a wasteful number, since it uses less digits than its factorization.

45580500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 45580500 is about 6751.3332016721. Note that the first 3 decimals coincide. The cubic root of 45580500 is about 357.2122646057.

The spelling of 45580500 in words is "forty-five million, five hundred eighty thousand, five hundred".