45096000 has 112 divisors (see below), whose sum is σ = 148986240. Its totient is φ = 12019200.

The previous prime is 45095993. The next prime is 45096013. The reversal of 45096000 is 69054.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23061 + ... + 24939.

Almost surely, 2^45096000 is an apocalyptic number.

45096000 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 45096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74493120).

45096000 is an abundant number, since it is smaller than the sum of its proper divisors (103890240).

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

45096000 is a wasteful number, since it uses less digits than its factorization.

45096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 45096000 is about 6715.3555378699. The cubic root of 45096000 is about 355.9420854322.

The spelling of 45096000 in words is "forty-five million, ninety-six thousand".