462984 has 32 divisors (see below), whose sum is σ = 1175040. Its totient is φ = 152000.

The previous prime is 462983. The next prime is 463003. The reversal of 462984 is 489264.

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 7 ways as a sum of consecutive naturals, for example, 2329 + ... + 2519.

It is an arithmetic number, because the mean of its divisors is an integer number (36720).

2⁴⁶²⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

462984 is an abundant number, since it is smaller than the sum of its proper divisors (712056).

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

462984 is a wasteful number, since it uses less digits than its factorization.

462984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 297 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 462984 is about 680.4292762661. The cubic root of 462984 is about 77.3609856191.

The spelling of 462984 in words is "four hundred sixty-two thousand, nine hundred eighty-four".