459408 has 40 divisors (see below), whose sum is σ = 1258848. Its totient is φ = 143872.

The previous prime is 459397. The next prime is 459421. The reversal of 459408 is 804954.

It is a super-2 number, since 2×459408² = 422111420928, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 459408.

It is an unprimeable number.

459408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 535 + ... + 1097.

2⁴⁵⁹⁴⁰⁸ is an apocalyptic number.

459408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629424).

459408 is an abundant number, since it is smaller than the sum of its proper divisors (799440).

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

459408 is a wasteful number, since it uses less digits than its factorization.

459408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 459408 is about 677.7964296159. The cubic root of 459408 is about 77.1612967874.

It can be divided in two parts, 45 and 9408, that added together give a triangular number (9453 = T₁₃₇).

The spelling of 459408 in words is "four hundred fifty-nine thousand, four hundred eight".