465080 has 64 divisors (see below), whose sum is σ = 1313280. Its totient is φ = 144000.

The previous prime is 465079. The next prime is 465089. The reversal of 465080 is 80564.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3005 + ... + 3155.

It is an arithmetic number, because the mean of its divisors is an integer number (20520).

2⁴⁶⁵⁰⁸⁰ is an apocalyptic number.

465080 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 465080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656640).

465080 is an abundant number, since it is smaller than the sum of its proper divisors (848200).

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

465080 is a wasteful number, since it uses less digits than its factorization.

465080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 465080 is about 681.9677411726. The cubic root of 465080 is about 77.4775515975.

The spelling of 465080 in words is "four hundred sixty-five thousand, eighty".