476992 has 28 divisors (see below), whose sum is σ = 982980. Its totient is φ = 229376.

The previous prime is 476989. The next prime is 477011. The reversal of 476992 is 299674.

It can be written as a sum of positive squares in 2 ways, for example, as 389376 + 87616 = 624^2 + 296^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 1728 + ... + 1984.

2⁴⁷⁶⁹⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491490).

476992 is an abundant number, since it is smaller than the sum of its proper divisors (505988).

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

476992 is a wasteful number, since it uses less digits than its factorization.

476992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its digits is 27216, while the sum is 37.

The square root of 476992 is about 690.6460743391. The cubic root of 476992 is about 78.1334555115.

The spelling of 476992 in words is "four hundred seventy-six thousand, nine hundred ninety-two".