45508600 has 48 divisors (see below), whose sum is σ = 106633800. Its totient is φ = 18061440.

The previous prime is 45508597. The next prime is 45508601. The reversal of 45508600 is 680554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45508601) 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, 26982 + ... + 28618.

Almost surely, 2^45508600 is an apocalyptic number.

45508600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45508600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53316900).

45508600 is an abundant number, since it is smaller than the sum of its proper divisors (61125200).

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

45508600 is a wasteful number, since it uses less digits than its factorization.

45508600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 45508600 is about 6746.0062259088. The cubic root of 45508600 is about 357.0243401033.

The spelling of 45508600 in words is "forty-five million, five hundred eight thousand, six hundred".