45360900 has 108 divisors (see below), whose sum is σ = 153157732. Its totient is φ = 11162880.

The previous prime is 45360871. The next prime is 45360919. The reversal of 45360900 is 906354.

It is a happy number.

45360900 is a `hidden beast` number, since 4 + 53 + 609 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9144576 + 36216324 = 3024^2 + 6018^2 .

It is a super-2 number, since 2×45360900² = 4115222497620000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9762 + ... + 13638.

Almost surely, 2^45360900 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 45360900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76578866).

45360900 is an abundant number, since it is smaller than the sum of its proper divisors (107796832).

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

45360900 is a wasteful number, since it uses less digits than its factorization.

45360900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3910 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 45360900 is about 6735.0501111722. The cubic root of 45360900 is about 356.6376758494.

The spelling of 45360900 in words is "forty-five million, three hundred sixty thousand, nine hundred".