863528400 has 180 divisors, whose sum is σ = 3424880992. Its totient is φ = 197372160.

The previous prime is 863528377. The next prime is 863528401. The reversal of 863528400 is 4825368.

863528400 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 (180).

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 (863528401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8067 + ... + 42333.

Almost surely, 2^863528400 is an apocalyptic number.

863528400 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 863528400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712440496).

863528400 is an abundant number, since it is smaller than the sum of its proper divisors (2561352592).

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

863528400 is a wasteful number, since it uses less digits than its factorization.

863528400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34298 (or 34284 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 863528400 is about 29385.8537395121. The cubic root of 863528400 is about 952.2673083605.

The spelling of 863528400 in words is "eight hundred sixty-three million, five hundred twenty-eight thousand, four hundred".