465744 has 40 divisors (see below), whose sum is σ = 1245952. Its totient is φ = 149760.

The previous prime is 465743. The next prime is 465761. The reversal of 465744 is 447564.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 465744.

It is not an unprimeable number, because it can be changed into a prime (465743) 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, 1332 + ... + 1644.

2⁴⁶⁵⁷⁴⁴ 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 465744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622976).

465744 is an abundant number, since it is smaller than the sum of its proper divisors (780208).

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

465744 is a wasteful number, since it uses less digits than its factorization.

465744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 465744 is about 682.4543940807. The cubic root of 465744 is about 77.5144059242.

The spelling of 465744 in words is "four hundred sixty-five thousand, seven hundred forty-four".