459792 has 60 divisors (see below), whose sum is σ = 1341184. Its totient is φ = 146880.

The previous prime is 459791. The next prime is 459803. The reversal of 459792 is 297954.

It is a super-2 number, since 2×459792² = 422817366528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (459791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4413 + ... + 4515.

2⁴⁵⁹⁷⁹² 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 459792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670592).

459792 is an abundant number, since it is smaller than the sum of its proper divisors (881392).

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

459792 is a wasteful number, since it uses less digits than its factorization.

459792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 459792 is about 678.0796413402. The cubic root of 459792 is about 77.1827894375.

The spelling of 459792 in words is "four hundred fifty-nine thousand, seven hundred ninety-two".