45360252 has 36 divisors (see below), whose sum is σ = 131041456. Its totient is φ = 12960000.

The previous prime is 45360193. The next prime is 45360257. The reversal of 45360252 is 25206354.

45360252 is a `hidden beast` number, since 4 + 5 + 3 + 602 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45360257) 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, 89749 + ... + 90252.

Almost surely, 2^45360252 is an apocalyptic number.

45360252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45360252 is an abundant number, since it is smaller than the sum of its proper divisors (85681204).

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

45360252 is a wasteful number, since it uses less digits than its factorization.

45360252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180018 (or 180013 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45360252 is about 6735.0020044540. The cubic root of 45360252 is about 356.6359776003.

Subtracting from 45360252 its sum of digits (27), we obtain a square (45360225 = 6735²).

The spelling of 45360252 in words is "forty-five million, three hundred sixty thousand, two hundred fifty-two".