817468520 has 64 divisors (see below), whose sum is σ = 2022451200. Its totient is φ = 294900480.

The previous prime is 817468517. The next prime is 817468523. The reversal of 817468520 is 25864718.

It is an interprime number because it is at equal distance from previous prime (817468517) and next prime (817468523).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (817468523) 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 15 ways as a sum of consecutive naturals, for example, 48566 + ... + 63194.

It is an arithmetic number, because the mean of its divisors is an integer number (31600800).

Almost surely, 2^817468520 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 817468520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011225600).

817468520 is an abundant number, since it is smaller than the sum of its proper divisors (1204982680).

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

817468520 is a wasteful number, since it uses less digits than its factorization.

817468520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14778 (or 14774 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The square root of 817468520 is about 28591.4064012248. The cubic root of 817468520 is about 935.0259822915.

The spelling of 817468520 in words is "eight hundred seventeen million, four hundred sixty-eight thousand, five hundred twenty".