45556900 has 36 divisors (see below), whose sum is σ = 99840832. Its totient is φ = 18041760.

The previous prime is 45556897. The next prime is 45556913. The reversal of 45556900 is 965554.

It is a happy number.

It is a super-2 number, since 2×45556900² = 4150862275220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8089 + ... + 12511.

Almost surely, 2^45556900 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 45556900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49920416).

45556900 is an abundant number, since it is smaller than the sum of its proper divisors (54283932).

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

45556900 is a wasteful number, since it uses less digits than its factorization.

45556900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4540 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The square root of 45556900 is about 6749.5851724384. The cubic root of 45556900 is about 357.1506032606.

The spelling of 45556900 in words is "forty-five million, five hundred fifty-six thousand, nine hundred".