475368 has 32 divisors (see below), whose sum is σ = 1231200. Its totient is φ = 152768.

The previous prime is 475367. The next prime is 475369. The reversal of 475368 is 863574.

It is an interprime number because it is at equal distance from previous prime (475367) and next prime (475369).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 475368.

It is not an unprimeable number, because it can be changed into a prime (475367) 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, 355 + ... + 1037.

It is an arithmetic number, because the mean of its divisors is an integer number (38475).

475368 is a Friedman number, since it can be written as (35-6)*(8+4^7), using all its digits and the basic arithmetic operations.

2⁴⁷⁵³⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615600).

475368 is an abundant number, since it is smaller than the sum of its proper divisors (755832).

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

475368 is a wasteful number, since it uses less digits than its factorization.

475368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 717 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 475368 is about 689.4693611757. The cubic root of 475368 is about 78.0446818287.

The spelling of 475368 in words is "four hundred seventy-five thousand, three hundred sixty-eight".