576468 has 36 divisors (see below), whose sum is σ = 1485120. Its totient is φ = 188496.

The previous prime is 576461. The next prime is 576469. The reversal of 576468 is 864675.

It is a happy number.

576468 is a `hidden beast` number, since 5 + 7 + 646 + 8 = 666.

576468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (576461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2293 + ... + 2531.

2⁵⁷⁶⁴⁶⁸ 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 576468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742560).

576468 is an abundant number, since it is smaller than the sum of its proper divisors (908652).

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

576468 is a wasteful number, since it uses less digits than its factorization.

576468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 311 counting only the distinct ones).

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

The square root of 576468 is about 759.2548979098. The cubic root of 576468 is about 83.2258810632.

It can be divided in two parts, 5764 and 68, that added together give a cube (5832 = 18³).

The spelling of 576468 in words is "five hundred seventy-six thousand, four hundred sixty-eight".