460164 has 24 divisors (see below), whose sum is σ = 1109248. Its totient is φ = 148320.

The previous prime is 460157. The next prime is 460171. The reversal of 460164 is 461064.

It is an interprime number because it is at equal distance from previous prime (460157) and next prime (460171).

It is a self number, because there is not a number n which added to its sum of digits gives 460164.

It is a congruent number.

It is an unprimeable number.

460164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 247 + ... + 990.

2⁴⁶⁰¹⁶⁴ is an apocalyptic number.

It is an amenable number.

460164 is an abundant number, since it is smaller than the sum of its proper divisors (649084).

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

460164 is a wasteful number, since it uses less digits than its factorization.

460164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 460164 is about 678.3538899424. The cubic root of 460164 is about 77.2035990340.

Subtracting 460164 from its reverse (461064), we obtain a square (900 = 30²).

The spelling of 460164 in words is "four hundred sixty thousand, one hundred sixty-four".