475253360 has 80 divisors (see below), whose sum is σ = 1186236576. Its totient is φ = 176431104.

The previous prime is 475253357. The next prime is 475253369. The reversal of 475253360 is 63352574.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 475253360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475253369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96887 + ... + 101673.

Almost surely, 2^475253360 is an apocalyptic number.

475253360 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 475253360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593118288).

475253360 is an abundant number, since it is smaller than the sum of its proper divisors (710983216).

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

475253360 is a wasteful number, since it uses less digits than its factorization.

475253360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4890 (or 4884 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 35.

The square root of 475253360 is about 21800.3064198648. The cubic root of 475253360 is about 780.3840755865.

The spelling of 475253360 in words is "four hundred seventy-five million, two hundred fifty-three thousand, three hundred sixty".