460408 has 32 divisors (see below), whose sum is σ = 982800. Its totient is φ = 200448.

The previous prime is 460403. The next prime is 460409. The reversal of 460408 is 804064.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1860 + ... + 2092.

2⁴⁶⁰⁴⁰⁸ 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 460408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491400).

460408 is an abundant number, since it is smaller than the sum of its proper divisors (522392).

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

460408 is a wasteful number, since it uses less digits than its factorization.

460408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 460408 is about 678.5337132376. The cubic root of 460408 is about 77.2172422493.

It can be divided in two parts, 460 and 408, that added together give a palindrome (868).

The spelling of 460408 in words is "four hundred sixty thousand, four hundred eight".