476820 has 48 divisors (see below), whose sum is σ = 1485120. Its totient is φ = 127008.

The previous prime is 476803. The next prime is 476831. The reversal of 476820 is 28674.

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

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

476820 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 15 ways as a sum of consecutive naturals, for example, 99 + ... + 981.

It is an arithmetic number, because the mean of its divisors is an integer number (30940).

2⁴⁷⁶⁸²⁰ 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 476820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742560).

476820 is an abundant number, since it is smaller than the sum of its proper divisors (1008300).

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

476820 is a wasteful number, since it uses less digits than its factorization.

476820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 893 counting only the distinct ones).

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

The square root of 476820 is about 690.5215420246. The cubic root of 476820 is about 78.1240629221.

It can be divided in two parts, 476 and 820, that added together give a 4-th power (1296 = 6⁴).

The spelling of 476820 in words is "four hundred seventy-six thousand, eight hundred twenty".