475710840 has 256 divisors, whose sum is σ = 1806105600. Its totient is φ = 110246400.

The previous prime is 475710827. The next prime is 475710857. The reversal of 475710840 is 48017574.

475710840 is a `hidden beast` number, since 4 + 7 + 571 + 0 + 84 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 475710795 and 475710804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272370 + ... + 274110.

It is an arithmetic number, because the mean of its divisors is an integer number (7055100).

Almost surely, 2^475710840 is an apocalyptic number.

475710840 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 475710840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903052800).

475710840 is an abundant number, since it is smaller than the sum of its proper divisors (1330394760).

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

475710840 is a wasteful number, since it uses less digits than its factorization.

475710840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 475710840 is about 21810.7964091181. The cubic root of 475710840 is about 780.6343951320.

The spelling of 475710840 in words is "four hundred seventy-five million, seven hundred ten thousand, eight hundred forty".