459472 has 30 divisors (see below), whose sum is σ = 979538. Its totient is φ = 207552.

The previous prime is 459469. The next prime is 459479. The reversal of 459472 is 274954.

It can be written as a sum of positive squares in only one way, i.e., 318096 + 141376 = 564^2 + 376^2 .

It is a super-2 number, since 2×459472² = 422229037568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459479) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 9753 + ... + 9799.

459472 is a Friedman number, since it can be written as 94^2*(45+7), using all its digits and the basic arithmetic operations.

2⁴⁵⁹⁴⁷² 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 459472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489769).

459472 is an abundant number, since it is smaller than the sum of its proper divisors (520066).

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

459472 is a wasteful number, since it uses less digits than its factorization.

459472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 62 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 459472 is about 677.8436397872. The cubic root of 459472 is about 77.1648797272.

The spelling of 459472 in words is "four hundred fifty-nine thousand, four hundred seventy-two".