452088 has 128 divisors (see below), whose sum is σ = 1612800. Its totient is φ = 114048.

The previous prime is 452087. The next prime is 452131. The reversal of 452088 is 880254.

452088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19645 + ... + 19667.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2⁴⁵²⁰⁸⁸ 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 452088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806400).

452088 is an abundant number, since it is smaller than the sum of its proper divisors (1160712).

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

452088 is a wasteful number, since it uses less digits than its factorization.

452088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 452088 is about 672.3748954267. The cubic root of 452088 is about 76.7492829211.

The spelling of 452088 in words is "four hundred fifty-two thousand, eighty-eight".