801986448 has 80 divisors (see below), whose sum is σ = 2167004160. Its totient is φ = 255100032.

The previous prime is 801986443. The next prime is 801986453. The reversal of 801986448 is 844689108.

It is an interprime number because it is at equal distance from previous prime (801986443) and next prime (801986453).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 801986397 and 801986406.

It is not an unprimeable number, because it can be changed into a prime (801986443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 815365 + ... + 816347.

It is an arithmetic number, because the mean of its divisors is an integer number (27087552).

Almost surely, 2^801986448 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 801986448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083502080).

801986448 is an abundant number, since it is smaller than the sum of its proper divisors (1365017712).

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

801986448 is a wasteful number, since it uses less digits than its factorization.

801986448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 801986448 is about 28319.3652471237. The cubic root of 801986448 is about 929.0854878781.

The spelling of 801986448 in words is "eight hundred one million, nine hundred eighty-six thousand, four hundred forty-eight".