453792 has 48 divisors (see below), whose sum is σ = 1239840. Its totient is φ = 145152.

The previous prime is 453757. The next prime is 453797. The reversal of 453792 is 297354.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (453797) by changing a digit.

453792 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 7 ways as a sum of consecutive naturals, for example, 2703 + ... + 2865.

It is an arithmetic number, because the mean of its divisors is an integer number (25830).

2⁴⁵³⁷⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619920).

453792 is an abundant number, since it is smaller than the sum of its proper divisors (786048).

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

453792 is a wasteful number, since it uses less digits than its factorization.

453792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 453792 is about 673.6408538680. The cubic root of 453792 is about 76.8455892519.

The spelling of 453792 in words is "four hundred fifty-three thousand, seven hundred ninety-two".