462816 has 36 divisors (see below), whose sum is σ = 1316952. Its totient is φ = 154176.

The previous prime is 462773. The next prime is 462827. The reversal of 462816 is 618264.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 462816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 516 + ... + 1091.

It is an arithmetic number, because the mean of its divisors is an integer number (36582).

2⁴⁶²⁸¹⁶ is an apocalyptic number.

It is an amenable number.

462816 is an abundant number, since it is smaller than the sum of its proper divisors (854136).

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

462816 is a wasteful number, since it uses less digits than its factorization.

462816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1612 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 462816 is about 680.3058135868. The cubic root of 462816 is about 77.3516273275.

The spelling of 462816 in words is "four hundred sixty-two thousand, eight hundred sixteen".