452880 has 120 divisors (see below), whose sum is σ = 1653912. Its totient is φ = 110592.

The previous prime is 452873. The next prime is 452923. The reversal of 452880 is 88254.

It can be written as a sum of positive squares in 4 ways, for example, as 186624 + 266256 = 432^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

452880 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 23 ways as a sum of consecutive naturals, for example, 12222 + ... + 12258.

2⁴⁵²⁸⁸⁰ is an apocalyptic number.

452880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826956).

452880 is an abundant number, since it is smaller than the sum of its proper divisors (1201032).

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

452880 is a wasteful number, since it uses less digits than its factorization.

452880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 64 counting only the distinct ones).

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

The square root of 452880 is about 672.9635948549. The cubic root of 452880 is about 76.7940750638.

It can be divided in two parts, 45 and 2880, that multiplied together give a square (129600 = 360²).

The spelling of 452880 in words is "four hundred fifty-two thousand, eight hundred eighty".