45558900 has 108 divisors (see below), whose sum is σ = 144074112. Its totient is φ = 12041280.

The previous prime is 45558899. The next prime is 45558907. The reversal of 45558900 is 985554.

It is a happy number.

It is a super-2 number, since 2×45558900² = 4151226738420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45558907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 200587 + ... + 200813.

Almost surely, 2^45558900 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 45558900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72037056).

45558900 is an abundant number, since it is smaller than the sum of its proper divisors (98515212).

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

45558900 is a wasteful number, since it uses less digits than its factorization.

45558900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 45558900 is about 6749.7333280656. The cubic root of 45558900 is about 357.1558296240.

The spelling of 45558900 in words is "forty-five million, five hundred fifty-eight thousand, nine hundred".