465876 has 18 divisors (see below), whose sum is σ = 1177722. Its totient is φ = 155280.

The previous prime is 465841. The next prime is 465887. The reversal of 465876 is 678564.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 435600 + 30276 = 660^2 + 174^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12941 = 465876 / (4 + 6 + 5 + 8 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 465876.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 6435 + ... + 6506.

It is an arithmetic number, because the mean of its divisors is an integer number (65429).

2⁴⁶⁵⁸⁷⁶ is an apocalyptic number.

It is an amenable number.

465876 is an abundant number, since it is smaller than the sum of its proper divisors (711846).

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

465876 is a wasteful number, since it uses less digits than its factorization.

465876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12951 (or 12946 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 465876 is about 682.5510969884. The cubic root of 465876 is about 77.5217282122.

The spelling of 465876 in words is "four hundred sixty-five thousand, eight hundred seventy-six".