452892 has 48 divisors (see below), whose sum is σ = 1193472. Its totient is φ = 132480.

The previous prime is 452873. The next prime is 452923. The reversal of 452892 is 298254.

It is a super-2 number, since 2×452892² = 410222327328, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 4⁸ + 5⁴ + 8⁶ + 2 + 9⁵ + 2¹⁶ .

It is a congruent number.

It is an unprimeable number.

452892 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6168 + ... + 6240.

It is an arithmetic number, because the mean of its divisors is an integer number (24864).

2⁴⁵²⁸⁹² 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 452892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596736).

452892 is an abundant number, since it is smaller than the sum of its proper divisors (740580).

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

452892 is a wasteful number, since it uses less digits than its factorization.

452892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 136 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 452892 is about 672.9725105827. The cubic root of 452892 is about 76.7947533308.

The spelling of 452892 in words is "four hundred fifty-two thousand, eight hundred ninety-two".