817481448 has 192 divisors, whose sum is σ = 2717919360. Its totient is φ = 216649728.

The previous prime is 817481447. The next prime is 817481449. The reversal of 817481448 is 844184718.

It is a happy number.

817481448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (817481447) and next prime (817481449).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (817481447) 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, 624811 + ... + 626117.

It is an arithmetic number, because the mean of its divisors is an integer number (14155830).

Almost surely, 2^817481448 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 817481448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358959680).

817481448 is an abundant number, since it is smaller than the sum of its proper divisors (1900437912).

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

817481448 is a wasteful number, since it uses less digits than its factorization.

817481448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1409 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 817481448 is about 28591.6324822491. The cubic root of 817481448 is about 935.0309113099.

The spelling of 817481448 in words is "eight hundred seventeen million, four hundred eighty-one thousand, four hundred forty-eight".