468408 has 32 divisors (see below), whose sum is σ = 1213200. Its totient is φ = 150528.

The previous prime is 468389. The next prime is 468421. The reversal of 468408 is 804864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 360 + ... + 1032.

2⁴⁶⁸⁴⁰⁸ 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 468408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606600).

468408 is an abundant number, since it is smaller than the sum of its proper divisors (744792).

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

468408 is a wasteful number, since it uses less digits than its factorization.

468408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 468408 is about 684.4033898221. The cubic root of 468408 is about 77.6619160788.

Adding to 468408 its product of nonzero digits (6144), we get a cube (474552 = 78³).

Subtracting from 468408 its product of nonzero digits (6144), we obtain a palindrome (462264).

The spelling of 468408 in words is "four hundred sixty-eight thousand, four hundred eight".