460784 has 20 divisors (see below), whose sum is σ = 922560. Its totient is φ = 222720.

The previous prime is 460777. The next prime is 460787. The reversal of 460784 is 487064.

460784 is an admirable number.

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 (460787) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32 + ... + 960.

It is an arithmetic number, because the mean of its divisors is an integer number (46128).

2⁴⁶⁰⁷⁸⁴ 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 460784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461280).

460784 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

460784 is a wasteful number, since it uses less digits than its factorization.

460784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 460784 is about 678.8107247238. The cubic root of 460784 is about 77.2382567865.

The spelling of 460784 in words is "four hundred sixty thousand, seven hundred eighty-four".