45099200 has 84 divisors (see below), whose sum is σ = 112818672. Its totient is φ = 17740800.

The previous prime is 45099199. The next prime is 45099209. The reversal of 45099200 is 299054.

It is not an unprimeable number, because it can be changed into a prime (45099209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113402 + ... + 113798.

Almost surely, 2^45099200 is an apocalyptic number.

45099200 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 45099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56409336).

45099200 is an abundant number, since it is smaller than the sum of its proper divisors (67719472).

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

45099200 is a wasteful number, since it uses less digits than its factorization.

45099200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 45099200 is about 6715.5937935524. The cubic root of 45099200 is about 355.9505044179.

The spelling of 45099200 in words is "forty-five million, ninety-nine thousand, two hundred".