462006 has 12 divisors (see below), whose sum is σ = 1001052. Its totient is φ = 153996.

The previous prime is 461983. The next prime is 462013. The reversal of 462006 is 600264.

462006 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 25667 = 462006 / (4 + 6 + 2 + 0 + 0 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 462006.

It is a congruent number.

It is an unprimeable number.

462006 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 5 ways as a sum of consecutive naturals, for example, 12816 + ... + 12851.

It is an arithmetic number, because the mean of its divisors is an integer number (83421).

2⁴⁶²⁰⁰⁶ is an apocalyptic number.

462006 is an abundant number, since it is smaller than the sum of its proper divisors (539046).

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

462006 is a wasteful number, since it uses less digits than its factorization.

462006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25675 (or 25672 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 462006 is about 679.7102323785. The cubic root of 462006 is about 77.3064751823.

The spelling of 462006 in words is "four hundred sixty-two thousand, six".