465966 has 16 divisors (see below), whose sum is σ = 1035600. Its totient is φ = 155304.

The previous prime is 465947. The next prime is 465977. The reversal of 465966 is 669564.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 465966.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4261 + ... + 4368.

It is an arithmetic number, because the mean of its divisors is an integer number (64725).

2⁴⁶⁵⁹⁶⁶ is an apocalyptic number.

465966 is an abundant number, since it is smaller than the sum of its proper divisors (569634).

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

465966 is a wasteful number, since it uses less digits than its factorization.

465966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8640 (or 8634 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 465966 is about 682.6170229345. The cubic root of 465966 is about 77.5267198883.

It can be divided in two parts, 465 and 966, that added together give a triangular number (1431 = T₅₃).

The spelling of 465966 in words is "four hundred sixty-five thousand, nine hundred sixty-six".