451792 has 40 divisors (see below), whose sum is σ = 1017792. Its totient is φ = 192000.

The previous prime is 451783. The next prime is 451793. The reversal of 451792 is 297154.

It is a happy number.

It is a super-2 number, since 2×451792² = 408232022528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 451792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2917 + ... + 3067.

2⁴⁵¹⁷⁹² 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 451792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508896).

451792 is an abundant number, since it is smaller than the sum of its proper divisors (566000).

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

451792 is a wasteful number, since it uses less digits than its factorization.

451792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its digits is 2520, while the sum is 28.

The square root of 451792 is about 672.1547440880. The cubic root of 451792 is about 76.7325289945.

The spelling of 451792 in words is "four hundred fifty-one thousand, seven hundred ninety-two".