475883520 has 192 divisors, whose sum is σ = 1740735360. Its totient is φ = 108724224.

The previous prime is 475883497. The next prime is 475883531. The reversal of 475883520 is 25388574.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 213934 + ... + 216146.

It is an arithmetic number, because the mean of its divisors is an integer number (9066330).

Almost surely, 2^475883520 is an apocalyptic number.

475883520 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 475883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870367680).

475883520 is an abundant number, since it is smaller than the sum of its proper divisors (1264851840).

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

475883520 is a wasteful number, since it uses less digits than its factorization.

475883520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 475883520 is about 21814.7546399220. The cubic root of 475883520 is about 780.7288388071.

The spelling of 475883520 in words is "four hundred seventy-five million, eight hundred eighty-three thousand, five hundred twenty".