475416 has 64 divisors (see below), whose sum is σ = 1382400. Its totient is φ = 151200.

The previous prime is 475403. The next prime is 475417. The reversal of 475416 is 614574.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 475416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6661 + ... + 6731.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2⁴⁷⁵⁴¹⁶ 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 475416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691200).

475416 is an abundant number, since it is smaller than the sum of its proper divisors (906984).

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

475416 is a wasteful number, since it uses less digits than its factorization.

475416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 475416 is about 689.5041696756. The cubic root of 475416 is about 78.0473085787.

The spelling of 475416 in words is "four hundred seventy-five thousand, four hundred sixteen".