460944 has 80 divisors (see below), whose sum is σ = 1458240. Its totient is φ = 138240.

The previous prime is 460937. The next prime is 460949. The reversal of 460944 is 449064.

It is a super-2 number, since 2×460944² = 424938742272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 460944.

It is not an unprimeable number, because it can be changed into a prime (460949) by changing a digit.

460944 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4704 + ... + 4800.

It is an arithmetic number, because the mean of its divisors is an integer number (18228).

2⁴⁶⁰⁹⁴⁴ is an apocalyptic number.

460944 is a gapful number since it is divisible by the number (44) 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 460944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729120).

460944 is an abundant number, since it is smaller than the sum of its proper divisors (997296).

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

460944 is a wasteful number, since it uses less digits than its factorization.

460944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 460944 is about 678.9285676712. The cubic root of 460944 is about 77.2471956754.

The spelling of 460944 in words is "four hundred sixty thousand, nine hundred forty-four".