476580 has 72 divisors (see below), whose sum is σ = 1475712. Its totient is φ = 114816.

The previous prime is 476579. The next prime is 476587. The reversal of 476580 is 85674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (476587) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10117 + ... + 10163.

It is an arithmetic number, because the mean of its divisors is an integer number (20496).

2⁴⁷⁶⁵⁸⁰ 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 476580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737856).

476580 is an abundant number, since it is smaller than the sum of its proper divisors (999132).

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

476580 is a wasteful number, since it uses less digits than its factorization.

476580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 476580 is about 690.3477384623. The cubic root of 476580 is about 78.1109532079.

The spelling of 476580 in words is "four hundred seventy-six thousand, five hundred eighty".