462966 has 32 divisors (see below), whose sum is σ = 1079808. Its totient is φ = 129600.

The previous prime is 462953. The next prime is 462983. The reversal of 462966 is 669264.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 462966.

It is an unprimeable number.

462966 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 15 ways as a sum of consecutive naturals, for example, 2991 + ... + 3141.

It is an arithmetic number, because the mean of its divisors is an integer number (33744).

2⁴⁶²⁹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539904).

462966 is an abundant number, since it is smaller than the sum of its proper divisors (616842).

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

462966 is a wasteful number, since it uses less digits than its factorization.

462966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236.

The product of its digits is 15552, while the sum is 33.

The square root of 462966 is about 680.4160491934. The cubic root of 462966 is about 77.3599830533.

The spelling of 462966 in words is "four hundred sixty-two thousand, nine hundred sixty-six".