45495600 has 120 divisors (see below), whose sum is σ = 150561792. Its totient is φ = 11731200.

The previous prime is 45495589. The next prime is 45495641. The reversal of 45495600 is 659454.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36589 + ... + 37811.

Almost surely, 2^45495600 is an apocalyptic number.

45495600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45495600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75280896).

45495600 is an abundant number, since it is smaller than the sum of its proper divisors (105066192).

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

45495600 is a wasteful number, since it uses less digits than its factorization.

45495600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 45495600 is about 6745.0426240314. The cubic root of 45495600 is about 356.9903409732.

The spelling of 45495600 in words is "forty-five million, four hundred ninety-five thousand, six hundred".