863495424 has 288 divisors, whose sum is σ = 2863889280. Its totient is φ = 254361600.

The previous prime is 863495393. The next prime is 863495429. The reversal of 863495424 is 424594368.

863495424 is a `hidden beast` number, since 8 + 63 + 49 + 542 + 4 = 666.

863495424 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 self number, because there is not a number n which added to its sum of digits gives 863495424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863495429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3117174 + ... + 3117450.

It is an arithmetic number, because the mean of its divisors is an integer number (9944060).

Almost surely, 2^863495424 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 863495424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431944640).

863495424 is an abundant number, since it is smaller than the sum of its proper divisors (2000393856).

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

863495424 is a wasteful number, since it uses less digits than its factorization.

863495424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 334 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 863495424 is about 29385.2926478536. The cubic root of 863495424 is about 952.2551866335.

The spelling of 863495424 in words is "eight hundred sixty-three million, four hundred ninety-five thousand, four hundred twenty-four".