465264 has 50 divisors (see below), whose sum is σ = 1350360. Its totient is φ = 154656.

The previous prime is 465259. The next prime is 465271. The reversal of 465264 is 462564.

It is a happy number.

465264 is a `hidden beast` number, since 4 + 652 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

465264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1117 + ... + 1475.

2⁴⁶⁵²⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675180).

465264 is an abundant number, since it is smaller than the sum of its proper divisors (885096).

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

465264 is a wasteful number, since it uses less digits than its factorization.

465264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 364 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 465264 is about 682.1026315739. The cubic root of 465264 is about 77.4877677538.

It can be divided in two parts, 465 and 264, that multiplied together give a triangular number (122760 = T₄₉₅).

The spelling of 465264 in words is "four hundred sixty-five thousand, two hundred sixty-four".