45616500 has 192 divisors, whose sum is σ = 153753600. Its totient is φ = 11664000.

The previous prime is 45616447. The next prime is 45616513. The reversal of 45616500 is 561654.

It is a happy number.

45616500 is a `hidden beast` number, since 4 + 5 + 6 + 1 + 650 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 418446 + ... + 418554.

It is an arithmetic number, because the mean of its divisors is an integer number (800800).

Almost surely, 2^45616500 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 45616500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76876800).

45616500 is an abundant number, since it is smaller than the sum of its proper divisors (108137100).

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

45616500 is a wasteful number, since it uses less digits than its factorization.

45616500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 45616500 is about 6753.9988155166. The cubic root of 45616500 is about 357.3062833011.

The spelling of 45616500 in words is "forty-five million, six hundred sixteen thousand, five hundred".