475801920 has 336 divisors, whose sum is σ = 1865814912. Its totient is φ = 110161920.

The previous prime is 475801913. The next prime is 475801939. The reversal of 475801920 is 29108574.

475801920 is a `hidden beast` number, since 47 + 580 + 19 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 728314 + ... + 728966.

Almost surely, 2^475801920 is an apocalyptic number.

475801920 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 475801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932907456).

475801920 is an abundant number, since it is smaller than the sum of its proper divisors (1390012992).

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

475801920 is a wasteful number, since it uses less digits than its factorization.

475801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 475801920 is about 21812.8842659562. The cubic root of 475801920 is about 780.6842122601.

The spelling of 475801920 in words is "four hundred seventy-five million, eight hundred one thousand, nine hundred twenty".