468576 has 36 divisors (see below), whose sum is σ = 1333332. Its totient is φ = 156096.

The previous prime is 468557. The next prime is 468577. The reversal of 468576 is 675864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 468576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468577) by changing a digit.

468576 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 5 ways as a sum of consecutive naturals, for example, 526 + ... + 1101.

It is an arithmetic number, because the mean of its divisors is an integer number (37037).

2⁴⁶⁸⁵⁷⁶ is an apocalyptic number.

It is an amenable number.

468576 is an abundant number, since it is smaller than the sum of its proper divisors (864756).

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

468576 is a wasteful number, since it uses less digits than its factorization.

468576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1632 counting only the distinct ones).

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

The square root of 468576 is about 684.5261134537. The cubic root of 468576 is about 77.6711997534.

It can be divided in two parts, 4685 and 76, that added together give a square (4761 = 69²).

The spelling of 468576 in words is "four hundred sixty-eight thousand, five hundred seventy-six".