465408 has 60 divisors (see below), whose sum is σ = 1356498. Its totient is φ = 153600.

The previous prime is 465407. The next prime is 465419. The reversal of 465408 is 804564.

465408 is a `hidden beast` number, since 4 + 654 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 278784 + 186624 = 528^2 + 432^2 .

It is not an unprimeable number, because it can be changed into a prime (465407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4558 + ... + 4658.

2⁴⁶⁵⁴⁰⁸ is an apocalyptic number.

465408 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 465408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678249).

465408 is an abundant number, since it is smaller than the sum of its proper divisors (891090).

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

465408 is a wasteful number, since it uses less digits than its factorization.

465408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 465408 is about 682.2081793705. The cubic root of 465408 is about 77.4957611279.

The spelling of 465408 in words is "four hundred sixty-five thousand, four hundred eight".