452760 has 128 divisors (see below), whose sum is σ = 1728000. Its totient is φ = 94080.

The previous prime is 452759. The next prime is 452773. The reversal of 452760 is 67254.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 452760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41155 + ... + 41165.

It is an arithmetic number, because the mean of its divisors is an integer number (13500).

2⁴⁵²⁷⁶⁰ is an apocalyptic number.

452760 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 452760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864000).

452760 is an abundant number, since it is smaller than the sum of its proper divisors (1275240).

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

452760 is a wasteful number, since it uses less digits than its factorization.

452760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 452760 is about 672.8744310791. The cubic root of 452760 is about 76.7872917341.

The spelling of 452760 in words is "four hundred fifty-two thousand, seven hundred sixty".