476320 has 48 divisors (see below), whose sum is σ = 1217160. Its totient is φ = 175104.

The previous prime is 476317. The next prime is 476347. The reversal of 476320 is 23674.

It can be written as a sum of positive squares in 4 ways, for example, as 404496 + 71824 = 636^2 + 268^2 .

It is a junction number, because it is equal to n+sod(n) for n = 476291 and 476300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1966 + ... + 2194.

2⁴⁷⁶³²⁰ is an apocalyptic number.

476320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608580).

476320 is an abundant number, since it is smaller than the sum of its proper divisors (740840).

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

476320 is a wasteful number, since it uses less digits than its factorization.

476320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 476320 is about 690.1594018776. The cubic root of 476320 is about 78.0967460498.

Adding to 476320 its reverse (23674), we get a palindrome (499994).

The spelling of 476320 in words is "four hundred seventy-six thousand, three hundred twenty".