45252 has 24 divisors (see below), whose sum is σ = 117600. Its totient is φ = 15048.

The previous prime is 45247. The next prime is 45259. The reversal of 45252 is 25254.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45252.

It is not an unprimeable number, because it can be changed into a prime (45259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102 + ... + 317.

It is an arithmetic number, because the mean of its divisors is an integer number (4900).

2⁴⁵²⁵² is an apocalyptic number.

It is an amenable number.

45252 is an abundant number, since it is smaller than the sum of its proper divisors (72348).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58800).

45252 is a wasteful number, since it uses less digits than its factorization.

45252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

The product of its digits is 400, while the sum is 18.

The square root of 45252 is about 212.7251748148. The cubic root of 45252 is about 35.6352048328.

The spelling of 45252 in words is "forty-five thousand, two hundred fifty-two".