459720 has 48 divisors (see below), whose sum is σ = 1495260. Its totient is φ = 122496.

The previous prime is 459703. The next prime is 459749. The reversal of 459720 is 27954.

459720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 459684 + 36 = 678^2 + 6^2 .

It is a super-2 number, since 2×459720² = 422684956800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279 + ... + 998.

2⁴⁵⁹⁷²⁰ is an apocalyptic number.

459720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

459720 is an abundant number, since it is smaller than the sum of its proper divisors (1035540).

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

459720 is a wasteful number, since it uses less digits than its factorization.

459720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1287 counting only the distinct ones).

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

The square root of 459720 is about 678.0265481528. The cubic root of 459720 is about 77.1787604774.

The spelling of 459720 in words is "four hundred fifty-nine thousand, seven hundred twenty".