475680 has 48 divisors (see below), whose sum is σ = 1499904. Its totient is φ = 126720.

The previous prime is 475679. The next prime is 475681. The reversal of 475680 is 86574.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (475679) and next prime (475681).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (475681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16 + ... + 975.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2⁴⁷⁵⁶⁸⁰ is an apocalyptic number.

475680 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 475680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749952).

475680 is an abundant number, since it is smaller than the sum of its proper divisors (1024224).

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

475680 is a wasteful number, since it uses less digits than its factorization.

475680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 1001 counting only the distinct ones).

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

The square root of 475680 is about 689.6955850228. The cubic root of 475680 is about 78.0617525441.

The spelling of 475680 in words is "four hundred seventy-five thousand, six hundred eighty".