45332200 has 96 divisors (see below), whose sum is σ = 113832000. Its totient is φ = 16727040.

The previous prime is 45332179. The next prime is 45332201. The reversal of 45332200 is 223354.

It is not an unprimeable number, because it can be changed into a prime (45332201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227701 + ... + 227899.

It is an arithmetic number, because the mean of its divisors is an integer number (1185750).

Almost surely, 2^45332200 is an apocalyptic number.

45332200 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 45332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56916000).

45332200 is an abundant number, since it is smaller than the sum of its proper divisors (68499800).

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

45332200 is a wasteful number, since it uses less digits than its factorization.

45332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 45332200 is about 6732.9191291742. The cubic root of 45332200 is about 356.5624446794.

Adding to 45332200 its reverse (223354), we get a palindrome (45555554).

The spelling of 45332200 in words is "forty-five million, three hundred thirty-two thousand, two hundred".