45239200 has 72 divisors (see below), whose sum is σ = 111391308. Its totient is φ = 17940480.

The previous prime is 45239189. The next prime is 45239219. The reversal of 45239200 is 293254.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 22543504 + 22695696 = 4748^2 + 4764^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154254 + ... + 154546.

Almost surely, 2^45239200 is an apocalyptic number.

45239200 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 45239200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55695654).

45239200 is an abundant number, since it is smaller than the sum of its proper divisors (66152108).

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

45239200 is a wasteful number, since it uses less digits than its factorization.

45239200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 45239200 is about 6726.0092179538. The cubic root of 45239200 is about 356.3184458618.

The spelling of 45239200 in words is "forty-five million, two hundred thirty-nine thousand, two hundred".