460968 has 16 divisors (see below), whose sum is σ = 1152480. Its totient is φ = 153648.

The previous prime is 460951. The next prime is 460969. The reversal of 460968 is 869064.

460968 = T₂₃₂ + T₂₃₃ + ... + T₂₄₇.

It is not an unprimeable number, because it can be changed into a prime (460969) by changing a digit.

460968 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 3 ways as a sum of consecutive naturals, for example, 9580 + ... + 9627.

It is an arithmetic number, because the mean of its divisors is an integer number (72030).

2⁴⁶⁰⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

460968 is an abundant number, since it is smaller than the sum of its proper divisors (691512).

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

460968 is a wasteful number, since it uses less digits than its factorization.

460968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19216 (or 19212 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 460968 is about 678.9462423491. The cubic root of 460968 is about 77.2485363303.

The spelling of 460968 in words is "four hundred sixty thousand, nine hundred sixty-eight".