462216 has 16 divisors (see below), whose sum is σ = 1155600. Its totient is φ = 154064.

The previous prime is 462199. The next prime is 462221. The reversal of 462216 is 612264.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 462192 and 462201.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 462216.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9606 + ... + 9653.

It is an arithmetic number, because the mean of its divisors is an integer number (72225).

2⁴⁶²²¹⁶ is an apocalyptic number.

It is an amenable number.

462216 is an abundant number, since it is smaller than the sum of its proper divisors (693384).

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

462216 is a wasteful number, since it uses less digits than its factorization.

462216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19268 (or 19264 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 462216 is about 679.8646924205. The cubic root of 462216 is about 77.3181863583.

The spelling of 462216 in words is "four hundred sixty-two thousand, two hundred sixteen".