465870 has 32 divisors (see below), whose sum is σ = 1143072. Its totient is φ = 121472.

The previous prime is 465841. The next prime is 465887. The reversal of 465870 is 78564.

It is a happy number.

It is a super-3 number, since 3×465870³ = 303330086352009000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 465870.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1444 + ... + 1736.

It is an arithmetic number, because the mean of its divisors is an integer number (35721).

465870 is a Friedman number, since it can be written as (5^7-480)*6, using all its digits and the basic arithmetic operations.

2⁴⁶⁵⁸⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571536).

465870 is an abundant number, since it is smaller than the sum of its proper divisors (677202).

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

465870 is a wasteful number, since it uses less digits than its factorization.

465870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 465870 is about 682.5467016989. The cubic root of 465870 is about 77.5213954109.

It can be divided in two parts, 465 and 870, that multiplied together give a triangular number (404550 = T₈₉₉).

The spelling of 465870 in words is "four hundred sixty-five thousand, eight hundred seventy".