475809516 has 144 divisors (see below), whose sum is σ = 1505195328. Its totient is φ = 123379200.

The previous prime is 475809511. The next prime is 475809517. The reversal of 475809516 is 615908574.

475809516 is a `hidden beast` number, since 475 + 80 + 95 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (475809511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198646 + ... + 201026.

Almost surely, 2^475809516 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 475809516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752597664).

475809516 is an abundant number, since it is smaller than the sum of its proper divisors (1029385812).

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

475809516 is a wasteful number, since it uses less digits than its factorization.

475809516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 475809516 is about 21813.0583825377. The cubic root of 475809516 is about 780.6883666819.

The spelling of 475809516 in words is "four hundred seventy-five million, eight hundred nine thousand, five hundred sixteen".