462975 has 12 divisors (see below), whose sum is σ = 765576. Its totient is φ = 246880.

The previous prime is 462953. The next prime is 462983. The reversal of 462975 is 579264.

It is not a de Polignac number, because 462975 - 2⁶ = 462911 is a prime.

It is a d-powerful number, because it can be written as 4⁸ + 6⁷ + 9⁴ + 2¹⁵ + 7² + 5⁷ .

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 462975.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3012 + ... + 3161.

It is an arithmetic number, because the mean of its divisors is an integer number (63798).

2⁴⁶²⁹⁷⁵ is an apocalyptic number.

462975 is a deficient number, since it is larger than the sum of its proper divisors (302601).

462975 is a wasteful number, since it uses less digits than its factorization.

462975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6186 (or 6181 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 462975 is about 680.4226627619. The cubic root of 462975 is about 77.3604843395.

The spelling of 462975 in words is "four hundred sixty-two thousand, nine hundred seventy-five".