476560 has 80 divisors (see below), whose sum is σ = 1357056. Its totient is φ = 152064.

The previous prime is 476519. The next prime is 476579. The reversal of 476560 is 65674.

476560 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

476560 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, 12862 + ... + 12898.

2⁴⁷⁶⁵⁶⁰ is an apocalyptic number.

476560 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 476560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678528).

476560 is an abundant number, since it is smaller than the sum of its proper divisors (880496).

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

476560 is a wasteful number, since it uses less digits than its factorization.

476560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 476560 is about 690.3332528569. Note that the first 3 decimals coincide. The cubic root of 476560 is about 78.1098605331.

476560 divided by its sum of digits (28) gives a triangular number (17020 = T₁₈₄).

The spelling of 476560 in words is "four hundred seventy-six thousand, five hundred sixty".