460980 has 72 divisors (see below), whose sum is σ = 1513512. Its totient is φ = 112896.

The previous prime is 460979. The next prime is 460981. The reversal of 460980 is 89064.

It is an interprime number because it is at equal distance from previous prime (460979) and next prime (460981).

It can be written as a sum of positive squares in 4 ways, for example, as 86436 + 374544 = 294^2 + 612^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2242 + ... + 2438.

It is an arithmetic number, because the mean of its divisors is an integer number (21021).

2⁴⁶⁰⁹⁸⁰ 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 460980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756756).

460980 is an abundant number, since it is smaller than the sum of its proper divisors (1052532).

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

460980 is a wasteful number, since it uses less digits than its factorization.

460980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 460980 is about 678.9550795156. The cubic root of 460980 is about 77.2492066403.

The spelling of 460980 in words is "four hundred sixty thousand, nine hundred eighty".