475838415 has 128 divisors (see below), whose sum is σ = 990662400. Its totient is φ = 214548480.

The previous prime is 475838383. The next prime is 475838417. The reversal of 475838415 is 514838574.

It is not a de Polignac number, because 475838415 - 2⁵ = 475838383 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

Together with 514823985 it forms an amicable pair .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475838417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1223041 + ... + 1223429.

It is an arithmetic number, because the mean of its divisors is an integer number (7739550).

Almost surely, 2^475838415 is an apocalyptic number.

475838415 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

475838415 is an abundant number, since it is smaller than the sum of its proper divisors (514823985).

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

475838415 is a wasteful number, since it uses less digits than its factorization.

475838415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 475838415 is about 21813.7207967829. The cubic root of 475838415 is about 780.7041717857.

The spelling of 475838415 in words is "four hundred seventy-five million, eight hundred thirty-eight thousand, four hundred fifteen".