475868120 has 128 divisors (see below), whose sum is σ = 1325721600. Its totient is φ = 149700096.

The previous prime is 475868119. The next prime is 475868123. The reversal of 475868120 is 21868574.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475868123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 869687 + ... + 870233.

It is an arithmetic number, because the mean of its divisors is an integer number (10357200).

Almost surely, 2^475868120 is an apocalyptic number.

475868120 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 475868120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662860800).

475868120 is an abundant number, since it is smaller than the sum of its proper divisors (849853480).

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

475868120 is a wasteful number, since it uses less digits than its factorization.

475868120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The square root of 475868120 is about 21814.4016649552. The cubic root of 475868120 is about 780.7204170307.

The spelling of 475868120 in words is "four hundred seventy-five million, eight hundred sixty-eight thousand, one hundred twenty".