476280 has 144 divisors (see below), whose sum is σ = 1867320. Its totient is φ = 108864.

The previous prime is 476279. The next prime is 476299. The reversal of 476280 is 82674.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 476280.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68037 + ... + 68043.

2⁴⁷⁶²⁸⁰ is an apocalyptic number.

476280 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 476280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933660).

476280 is an abundant number, since it is smaller than the sum of its proper divisors (1391040).

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

476280 is a wasteful number, since it uses less digits than its factorization.

476280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 476280 is about 690.1304224565. The cubic root of 476280 is about 78.0945598744.

The spelling of 476280 in words is "four hundred seventy-six thousand, two hundred eighty".