476080 has 40 divisors (see below), whose sum is σ = 1209744. Its totient is φ = 172800.

The previous prime is 476059. The next prime is 476081. The reversal of 476080 is 80674.

476080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (476081) by changing a digit.

476080 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 7 ways as a sum of consecutive naturals, for example, 610 + ... + 1150.

2⁴⁷⁶⁰⁸⁰ is an apocalyptic number.

476080 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 476080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604872).

476080 is an abundant number, since it is smaller than the sum of its proper divisors (733664).

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

476080 is a wasteful number, since it uses less digits than its factorization.

476080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 559 counting only the distinct ones).

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

The square root of 476080 is about 689.9855070942. The cubic root of 476080 is about 78.0836271606.

The spelling of 476080 in words is "four hundred seventy-six thousand, eighty".