460880 has 40 divisors (see below), whose sum is σ = 1226112. Its totient is φ = 157824.

The previous prime is 460871. The next prime is 460891. The reversal of 460880 is 88064.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

460880 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 7 ways as a sum of consecutive naturals, for example, 149 + ... + 971.

2⁴⁶⁰⁸⁸⁰ is an apocalyptic number.

460880 is a gapful number since it is divisible by the number (40) 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 460880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613056).

460880 is an abundant number, since it is smaller than the sum of its proper divisors (765232).

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

460880 is a wasteful number, since it uses less digits than its factorization.

460880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 460880 is about 678.8814329469. The cubic root of 460880 is about 77.2436203681.

Subtracting from 460880 its reverse (88064), we obtain a triangular number (372816 = T₈₆₃).

The spelling of 460880 in words is "four hundred sixty thousand, eight hundred eighty".