817480368 has 120 divisors (see below), whose sum is σ = 2383838496. Its totient is φ = 261273600.

The previous prime is 817480361. The next prime is 817480369. The reversal of 817480368 is 863084718.

It is not an unprimeable number, because it can be changed into a prime (817480361) 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 23 ways as a sum of consecutive naturals, for example, 377208 + ... + 379368.

Almost surely, 2^817480368 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 817480368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191919248).

817480368 is an abundant number, since it is smaller than the sum of its proper divisors (1566358128).

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

817480368 is a wasteful number, since it uses less digits than its factorization.

817480368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 817480368 is about 28591.6135955983. The cubic root of 817480368 is about 935.0304995437.

The spelling of 817480368 in words is "eight hundred seventeen million, four hundred eighty thousand, three hundred sixty-eight".