475914816 has 126 divisors (see below), whose sum is σ = 1477430370. Its totient is φ = 146405376.

The previous prime is 475914811. The next prime is 475914823. The reversal of 475914816 is 618419574.

475914816 is a `hidden beast` number, since 4 + 7 + 591 + 48 + 16 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5198400 + 470716416 = 2280^2 + 21696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475914811) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 94900 + ... + 99788.

Almost surely, 2^475914816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475914816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738715185).

475914816 is an abundant number, since it is smaller than the sum of its proper divisors (1001515554).

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

475914816 is a wasteful number, since it uses less digits than its factorization.

475914816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4933 (or 4907 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 475914816 is about 21815.4719408038. The cubic root of 475914816 is about 780.7459530470.

The spelling of 475914816 in words is "four hundred seventy-five million, nine hundred fourteen thousand, eight hundred sixteen".