45888200 has 36 divisors (see below), whose sum is σ = 106913265. Its totient is φ = 18316960.

The previous prime is 45888191. The next prime is 45888217. The reversal of 45888200 is 288854.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 44970436 + 917764 = 6706^2 + 958^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4790.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 95561 + ... + 96039.

Almost surely, 2^45888200 is an apocalyptic number.

45888200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45888200 is an abundant number, since it is smaller than the sum of its proper divisors (61025065).

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

45888200 is an equidigital number, since it uses as much as digits as its factorization.

45888200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 45888200 is about 6774.0829637671. The cubic root of 45888200 is about 358.0142728099.

The spelling of 45888200 in words is "forty-five million, eight hundred eighty-eight thousand, two hundred".