465880 has 32 divisors (see below), whose sum is σ = 1105200. Its totient is φ = 176256.

The previous prime is 465841. The next prime is 465887. The reversal of 465880 is 88564.

465880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454 + ... + 1066.

2⁴⁶⁵⁸⁸⁰ is an apocalyptic number.

465880 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 465880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552600).

465880 is an abundant number, since it is smaller than the sum of its proper divisors (639320).

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

465880 is a wasteful number, since it uses less digits than its factorization.

465880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 465880 is about 682.5540271656. The cubic root of 465880 is about 77.5219500781.

It can be divided in two parts, 46 and 5880, that multiplied together give a triangular number (270480 = T₇₃₅).

The spelling of 465880 in words is "four hundred sixty-five thousand, eight hundred eighty".