460496 has 20 divisors (see below), whose sum is σ = 945252. Its totient is φ = 216576.

The previous prime is 460477. The next prime is 460531. The reversal of 460496 is 694064.

460496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 270400 + 190096 = 520^2 + 436^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

460496 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 3 ways as a sum of consecutive naturals, for example, 575 + ... + 1118.

2⁴⁶⁰⁴⁹⁶ is an apocalyptic number.

It is an amenable number.

460496 is an abundant number, since it is smaller than the sum of its proper divisors (484756).

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

460496 is a wasteful number, since it uses less digits than its factorization.

460496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 460496 is about 678.5985558487. The cubic root of 460496 is about 77.2221615705. Note that the first 3 decimals are identical.

The spelling of 460496 in words is "four hundred sixty thousand, four hundred ninety-six".