460576 has 24 divisors (see below), whose sum is σ = 933660. Its totient is φ = 223488.

The previous prime is 460571. The next prime is 460589. The reversal of 460576 is 675064.

460576 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 456976 + 3600 = 676^2 + 60^2 .

It is not an unprimeable number, because it can be changed into a prime (460571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 990 + ... + 1378.

2⁴⁶⁰⁵⁷⁶ 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 460576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466830).

460576 is an abundant number, since it is smaller than the sum of its proper divisors (473084).

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

460576 is a wasteful number, since it uses less digits than its factorization.

460576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 460576 is about 678.6574983009. The cubic root of 460576 is about 77.2266331368.

The spelling of 460576 in words is "four hundred sixty thousand, five hundred seventy-six".