475760 has 40 divisors (see below), whose sum is σ = 1168080. Its totient is φ = 179712.

The previous prime is 475759. The next prime is 475763. The reversal of 475760 is 67574.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475763) 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, 1364 + ... + 1676.

It is an arithmetic number, because the mean of its divisors is an integer number (29202).

2⁴⁷⁵⁷⁶⁰ is an apocalyptic number.

475760 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 475760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584040).

475760 is an abundant number, since it is smaller than the sum of its proper divisors (692320).

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

475760 is a wasteful number, since it uses less digits than its factorization.

475760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 475760 is about 689.7535791861. The cubic root of 475760 is about 78.0661284481.

The spelling of 475760 in words is "four hundred seventy-five thousand, seven hundred sixty".