452160 has 84 divisors (see below), whose sum is σ = 1565148. Its totient is φ = 119808.

The previous prime is 452159. The next prime is 452161. The reversal of 452160 is 61254.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (452159) and next prime (452161).

It can be written as a sum of positive squares in 2 ways, for example, as 147456 + 304704 = 384^2 + 552^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (452161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2802 + ... + 2958.

2⁴⁵²¹⁶⁰ is an apocalyptic number.

452160 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 452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782574).

452160 is an abundant number, since it is smaller than the sum of its proper divisors (1112988).

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

452160 is a wasteful number, since it uses less digits than its factorization.

452160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 452160 is about 672.4284348539. The cubic root of 452160 is about 76.7533570948.

The spelling of 452160 in words is "four hundred fifty-two thousand, one hundred sixty".