475438080 has 176 divisors, whose sum is σ = 1638320544. Its totient is φ = 116981760.

The previous prime is 475438063. The next prime is 475438111. The reversal of 475438080 is 80834574.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198490 + ... + 200870.

Almost surely, 2^475438080 is an apocalyptic number.

475438080 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 475438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819160272).

475438080 is an abundant number, since it is smaller than the sum of its proper divisors (1162882464).

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

475438080 is a wasteful number, since it uses less digits than its factorization.

475438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 475438080 is about 21804.5426459717. The cubic root of 475438080 is about 780.4851682431.

The spelling of 475438080 in words is "four hundred seventy-five million, four hundred thirty-eight thousand, eighty".