459072 has 42 divisors (see below), whose sum is σ = 1317498. Its totient is φ = 152832.

The previous prime is 459047. The next prime is 459089. The reversal of 459072 is 270954.

459072 is a `hidden beast` number, since 4 + 590 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 389376 + 69696 = 624^2 + 264^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 178 + ... + 974.

It is an arithmetic number, because the mean of its divisors is an integer number (31369).

2⁴⁵⁹⁰⁷² 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 459072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658749).

459072 is an abundant number, since it is smaller than the sum of its proper divisors (858426).

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

459072 is a wasteful number, since it uses less digits than its factorization.

459072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 459072 is about 677.5485222477. The cubic root of 459072 is about 77.1424808918.

The spelling of 459072 in words is "four hundred fifty-nine thousand, seventy-two".