465400 has 48 divisors (see below), whose sum is σ = 1171800. Its totient is φ = 170880.

The previous prime is 465383. The next prime is 465407. The reversal of 465400 is 4564.

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 (465407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2511 + ... + 2689.

2⁴⁶⁵⁴⁰⁰ is an apocalyptic number.

465400 is a gapful number since it is divisible by the number (40) 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 465400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585900).

465400 is an abundant number, since it is smaller than the sum of its proper divisors (706400).

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

465400 is a wasteful number, since it uses less digits than its factorization.

465400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 465400 is about 682.2023160324. The cubic root of 465400 is about 77.4953170948.

Adding to 465400 its reverse (4564), we get a palindrome (469964).

The spelling of 465400 in words is "four hundred sixty-five thousand, four hundred".