863846400 has 360 divisors, whose sum is σ = 3087962080. Its totient is φ = 212336640.

The previous prime is 863846359. The next prime is 863846429. The reversal of 863846400 is 4648368.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23347182 + ... + 23347218.

Almost surely, 2^863846400 is an apocalyptic number.

863846400 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 863846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543981040).

863846400 is an abundant number, since it is smaller than the sum of its proper divisors (2224115680).

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

863846400 is a wasteful number, since it uses less digits than its factorization.

863846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 863846400 is about 29391.2640082049. The cubic root of 863846400 is about 952.3841869096.

The spelling of 863846400 in words is "eight hundred sixty-three million, eight hundred forty-six thousand, four hundred".