450252 has 48 divisors (see below), whose sum is σ = 1276800. Its totient is φ = 136080.

The previous prime is 450239. The next prime is 450257. The reversal of 450252 is 252054.

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

It is not an unprimeable number, because it can be changed into a prime (450257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999 + ... + 1377.

It is an arithmetic number, because the mean of its divisors is an integer number (26600).

2⁴⁵⁰²⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638400).

450252 is an abundant number, since it is smaller than the sum of its proper divisors (826548).

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

450252 is a wasteful number, since it uses less digits than its factorization.

450252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 395 counting only the distinct ones).

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

The square root of 450252 is about 671.0081966712. The cubic root of 450252 is about 76.6452450128.

It can be divided in two parts, 4502 and 52, that added together give a palindrome (4554).

The spelling of 450252 in words is "four hundred fifty thousand, two hundred fifty-two".