475763344 has 135 divisors (see below), whose sum is σ = 1159970121. Its totient is φ = 188455680.

The previous prime is 475763333. The next prime is 475763381. The reversal of 475763344 is 443367574.

The square root of 475763344 is 21812.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 22924944 + 452838400 = 4788^2 + 21280^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 475763344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11603964 + ... + 11604004.

Almost surely, 2^475763344 is an apocalyptic number.

475763344 is the 21812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475763344

475763344 is an abundant number, since it is smaller than the sum of its proper divisors (684206777).

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

475763344 is a wasteful number, since it uses less digits than its factorization.

475763344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 69 counting only the distinct ones).

The product of its digits is 846720, while the sum is 43.

The cubic root of 475763344 is about 780.6631135025.

The spelling of 475763344 in words is "four hundred seventy-five million, seven hundred sixty-three thousand, three hundred forty-four".