462987 has 12 divisors (see below), whose sum is σ = 764400. Its totient is φ = 264528.

The previous prime is 462983. The next prime is 463003. The reversal of 462987 is 789264.

It is not a de Polignac number, because 462987 - 2² = 462983 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (462983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3612 + ... + 3737.

It is an arithmetic number, because the mean of its divisors is an integer number (63700).

2⁴⁶²⁹⁸⁷ is an apocalyptic number.

462987 is a deficient number, since it is larger than the sum of its proper divisors (301413).

462987 is a wasteful number, since it uses less digits than its factorization.

462987 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7362 (or 7359 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 462987 is about 680.4314807532. The cubic root of 462987 is about 77.3611527109.

The spelling of 462987 in words is "four hundred sixty-two thousand, nine hundred eighty-seven".