459172 has 36 divisors (see below), whose sum is σ = 990976. Its totient is φ = 182160.

The previous prime is 459169. The next prime is 459181. The reversal of 459172 is 271954.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

Its product of digits (2520) is a multiple of the sum of its prime divisors (63).

It is a self number, because there is not a number n which added to its sum of digits gives 459172.

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 11 ways as a sum of consecutive naturals, for example, 14797 + ... + 14827.

2⁴⁵⁹¹⁷² 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 459172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495488).

459172 is an abundant number, since it is smaller than the sum of its proper divisors (531804).

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

459172 is a wasteful number, since it uses less digits than its factorization.

459172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 63 counting only the distinct ones).

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

The square root of 459172 is about 677.6223136822. The cubic root of 459172 is about 77.1480818200.

The spelling of 459172 in words is "four hundred fifty-nine thousand, one hundred seventy-two".