468440 has 48 divisors (see below), whose sum is σ = 1231200. Its totient is φ = 159936.

The previous prime is 468439. The next prime is 468451. The reversal of 468440 is 44864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1841 + ... + 2079.

It is an arithmetic number, because the mean of its divisors is an integer number (25650).

2⁴⁶⁸⁴⁴⁰ is an apocalyptic number.

468440 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 468440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615600).

468440 is an abundant number, since it is smaller than the sum of its proper divisors (762760).

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

468440 is a wasteful number, since it uses less digits than its factorization.

468440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 468440 is about 684.4267674485. The cubic root of 468440 is about 77.6636845689.

The spelling of 468440 in words is "four hundred sixty-eight thousand, four hundred forty".