452864 has 36 divisors (see below), whose sum is σ = 950460. Its totient is φ = 215040.

The previous prime is 452857. The next prime is 452869. The reversal of 452864 is 468254.

It can be written as a sum of positive squares in 2 ways, for example, as 102400 + 350464 = 320^2 + 592^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (452869) by changing a digit.

452864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7394 + ... + 7454.

2⁴⁵²⁸⁶⁴ 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 452864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475230).

452864 is an abundant number, since it is smaller than the sum of its proper divisors (497596).

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

452864 is an equidigital number, since it uses as much as digits as its factorization.

452864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 92 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 452864 is about 672.9517070340. The cubic root of 452864 is about 76.7931706890.

The spelling of 452864 in words is "four hundred fifty-two thousand, eight hundred sixty-four".