459400 has 24 divisors (see below), whose sum is σ = 1068570. Its totient is φ = 183680.

The previous prime is 459397. The next prime is 459421. The reversal of 459400 is 4954.

It can be written as a sum of positive squares in 3 ways, for example, as 334084 + 125316 = 578^2 + 354^2 .

It is a super-2 number, since 2×459400² = 422096720000, which contains 22 as substring.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 459400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 949 + ... + 1348.

2⁴⁵⁹⁴⁰⁰ is an apocalyptic number.

459400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

459400 is an abundant number, since it is smaller than the sum of its proper divisors (609170).

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

459400 is a wasteful number, since it uses less digits than its factorization.

459400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 459400 is about 677.7905281132. The cubic root of 459400 is about 77.1608488965.

The spelling of 459400 in words is "four hundred fifty-nine thousand, four hundred".