460564 has 24 divisors (see below), whose sum is σ = 920808. Its totient is φ = 199680.

The previous prime is 460561. The next prime is 460571. The reversal of 460564 is 465064.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24964 + 435600 = 158^2 + 660^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 624 + ... + 1144.

It is an arithmetic number, because the mean of its divisors is an integer number (38367).

2⁴⁶⁰⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

460564 is a deficient number, since it is larger than the sum of its proper divisors (460244).

460564 is a wasteful number, since it uses less digits than its factorization.

460564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 460564 is about 678.6486572594. The cubic root of 460564 is about 77.2259624348.

It can be divided in two parts, 460 and 564, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 460564 in words is "four hundred sixty thousand, five hundred sixty-four".