45225900 has 108 divisors (see below), whose sum is σ = 146421184. Its totient is φ = 11664000.

The previous prime is 45225893. The next prime is 45225913. The reversal of 45225900 is 952254.

45225900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27090 + ... + 28710.

Almost surely, 2^45225900 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 45225900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73210592).

45225900 is an abundant number, since it is smaller than the sum of its proper divisors (101195284).

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

45225900 is a wasteful number, since it uses less digits than its factorization.

45225900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1662 counting only the distinct ones).

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

The square root of 45225900 is about 6725.0204460656. The cubic root of 45225900 is about 356.2835240843.

The spelling of 45225900 in words is "forty-five million, two hundred twenty-five thousand, nine hundred".