863474976 has 288 divisors, whose sum is σ = 3090866688. Its totient is φ = 222566400.

The previous prime is 863474951. The next prime is 863474981. The reversal of 863474976 is 679474368.

It is a happy number.

863474976 is a `hidden beast` number, since 86 + 3 + 474 + 97 + 6 = 666.

863474976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (6096384) is a multiple of the sum of its prime factors (784).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1231426 + ... + 1232126.

It is an arithmetic number, because the mean of its divisors is an integer number (10732176).

Almost surely, 2^863474976 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 863474976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545433344).

863474976 is an abundant number, since it is smaller than the sum of its proper divisors (2227391712).

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

863474976 is a wasteful number, since it uses less digits than its factorization.

863474976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 773 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 863474976 is about 29384.9447166402. The cubic root of 863474976 is about 952.2476699491.

The spelling of 863474976 in words is "eight hundred sixty-three million, four hundred seventy-four thousand, nine hundred seventy-six".