863801424 has 120 divisors (see below), whose sum is σ = 2521490400. Its totient is φ = 275708160.

The previous prime is 863801417. The next prime is 863801429. The reversal of 863801424 is 424108368.

863801424 is a `hidden beast` number, since 8 + 638 + 0 + 14 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863801429) 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, 546267 + ... + 547845.

It is an arithmetic number, because the mean of its divisors is an integer number (21012420).

Almost surely, 2^863801424 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 863801424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260745200).

863801424 is an abundant number, since it is smaller than the sum of its proper divisors (1657688976).

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

863801424 is a wasteful number, since it uses less digits than its factorization.

863801424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 863801424 is about 29390.4988729351. The cubic root of 863801424 is about 952.3676580551.

The spelling of 863801424 in words is "eight hundred sixty-three million, eight hundred one thousand, four hundred twenty-four".