476800 has 48 divisors (see below), whose sum is σ = 1185750. Its totient is φ = 189440.

The previous prime is 476783. The next prime is 476803. The reversal of 476800 is 8674.

It can be written as a sum of positive squares in 3 ways, for example, as 254016 + 222784 = 504^2 + 472^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (476803) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3126 + ... + 3274.

2⁴⁷⁶⁸⁰⁰ is an apocalyptic number.

476800 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 476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592875).

476800 is an abundant number, since it is smaller than the sum of its proper divisors (708950).

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

476800 is a wasteful number, since it uses less digits than its factorization.

476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 476800 is about 690.5070600653. The cubic root of 476800 is about 78.1229706140.

It can be divided in two parts, 47 and 6800, that multiplied together give a triangular number (319600 = T₇₉₉).

The spelling of 476800 in words is "four hundred seventy-six thousand, eight hundred".