460972 has 12 divisors (see below), whose sum is σ = 854280. Its totient is φ = 216896.

The previous prime is 460969. The next prime is 460973. The reversal of 460972 is 279064.

It is a self number, because there is not a number n which added to its sum of digits gives 460972.

It is not an unprimeable number, because it can be changed into a prime (460973) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3322 + ... + 3457.

It is an arithmetic number, because the mean of its divisors is an integer number (71190).

2⁴⁶⁰⁹⁷² is an apocalyptic number.

It is an amenable number.

460972 is a deficient number, since it is larger than the sum of its proper divisors (393308).

460972 is a wasteful number, since it uses less digits than its factorization.

460972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6800 (or 6798 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 460972 is about 678.9491880841. The cubic root of 460972 is about 77.2487597682.

The spelling of 460972 in words is "four hundred sixty thousand, nine hundred seventy-two".