45606900 has 72 divisors (see below), whose sum is σ = 133984480. Its totient is φ = 11975040.

The previous prime is 45606877. The next prime is 45606901. The reversal of 45606900 is 960654.

It is a super-2 number, since 2×45606900² = 4159978655220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45606901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18966 + ... + 21234.

Almost surely, 2^45606900 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 45606900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66992240).

45606900 is an abundant number, since it is smaller than the sum of its proper divisors (88377580).

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

45606900 is a wasteful number, since it uses less digits than its factorization.

45606900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 45606900 is about 6753.2880880353. The cubic root of 45606900 is about 357.2812164871.

The spelling of 45606900 in words is "forty-five million, six hundred six thousand, nine hundred".