453120 has 80 divisors (see below), whose sum is σ = 1473120. Its totient is φ = 118784.

The previous prime is 453119. The next prime is 453133. The reversal of 453120 is 21354.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 453120.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 453120.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 7651 + ... + 7709.

It is an arithmetic number, because the mean of its divisors is an integer number (18414).

2⁴⁵³¹²⁰ is an apocalyptic number.

453120 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 453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736560).

453120 is an abundant number, since it is smaller than the sum of its proper divisors (1020000).

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

453120 is an equidigital number, since it uses as much as digits as its factorization.

453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 453120 is about 673.1418869748. The cubic root of 453120 is about 76.8076381292.

Adding to 453120 its reverse (21354), we get a palindrome (474474).

The spelling of 453120 in words is "four hundred fifty-three thousand, one hundred twenty".