863366400 has 324 divisors, whose sum is σ = 3327053548. Its totient is φ = 212336640.

The previous prime is 863366389. The next prime is 863366417. The reversal of 863366400 is 4663368.

863366400 is a `hidden beast` number, since 8 + 6 + 3 + 3 + 6 + 640 + 0 = 666.

863366400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 28387584 + 834978816 = 5328^2 + 28896^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748224 + ... + 749376.

Almost surely, 2^863366400 is an apocalyptic number.

863366400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 863366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663526774).

863366400 is an abundant number, since it is smaller than the sum of its proper divisors (2463687148).

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

863366400 is a wasteful number, since it uses less digits than its factorization.

863366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 863366400 is about 29383.0971818833. The cubic root of 863366400 is about 952.2077554255.

The spelling of 863366400 in words is "eight hundred sixty-three million, three hundred sixty-six thousand, four hundred".