476816 has 20 divisors (see below), whose sum is σ = 978732. Its totient is φ = 224256.

The previous prime is 476803. The next prime is 476831. The reversal of 476816 is 618674.

It can be written as a sum of positive squares in 2 ways, for example, as 163216 + 313600 = 404^2 + 560^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

476816 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 3 ways as a sum of consecutive naturals, for example, 605 + ... + 1148.

2⁴⁷⁶⁸¹⁶ is an apocalyptic number.

It is an amenable number.

476816 is an abundant number, since it is smaller than the sum of its proper divisors (501916).

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

476816 is a wasteful number, since it uses less digits than its factorization.

476816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1772 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 476816 is about 690.5186456570. The cubic root of 476816 is about 78.1238444629.

The spelling of 476816 in words is "four hundred seventy-six thousand, eight hundred sixteen".