460080 has 100 divisors (see below), whose sum is σ = 1620432. Its totient is φ = 120960.

The previous prime is 460079. The next prime is 460081. The reversal of 460080 is 80064.

It is an interprime number because it is at equal distance from previous prime (460079) and next prime (460081).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (460081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6445 + ... + 6515.

2⁴⁶⁰⁰⁸⁰ is an apocalyptic number.

460080 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 460080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810216).

460080 is an abundant number, since it is smaller than the sum of its proper divisors (1160352).

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

460080 is a wasteful number, since it uses less digits than its factorization.

460080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 460080 is about 678.2919725310. The cubic root of 460080 is about 77.1989010734.

The spelling of 460080 in words is "four hundred sixty thousand, eighty".