460782 has 64 divisors (see below), whose sum is σ = 1244160. Its totient is φ = 123552.

The previous prime is 460777. The next prime is 460787. The reversal of 460782 is 287064.

It is an interprime number because it is at equal distance from previous prime (460777) and next prime (460787).

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

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 31 ways as a sum of consecutive naturals, for example, 8668 + ... + 8720.

It is an arithmetic number, because the mean of its divisors is an integer number (19440).

2⁴⁶⁰⁷⁸² is an apocalyptic number.

460782 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 460782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622080).

460782 is an abundant number, since it is smaller than the sum of its proper divisors (783378).

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

460782 is a wasteful number, since it uses less digits than its factorization.

460782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 460782 is about 678.8092515575. The cubic root of 460782 is about 77.2381450372.

The spelling of 460782 in words is "four hundred sixty thousand, seven hundred eighty-two".