452970 has 48 divisors (see below), whose sum is σ = 1347840. Its totient is φ = 103392.

The previous prime is 452957. The next prime is 452983. The reversal of 452970 is 79254.

It is an interprime number because it is at equal distance from previous prime (452957) and next prime (452983).

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 452970.

It is an unprimeable number.

452970 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271 + ... + 989.

It is an arithmetic number, because the mean of its divisors is an integer number (28080).

2⁴⁵²⁹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673920).

452970 is an abundant number, since it is smaller than the sum of its proper divisors (894870).

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

452970 is a wasteful number, since it uses less digits than its factorization.

452970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 452970 is about 673.0304599348. The cubic root of 452970 is about 76.7991617747.

The spelling of 452970 in words is "four hundred fifty-two thousand, nine hundred seventy".