863032400 has 60 divisors (see below), whose sum is σ = 2129510652. Its totient is φ = 335877120.

The previous prime is 863032397. The next prime is 863032409. The reversal of 863032400 is 4230368.

It can be written as a sum of positive squares in 6 ways, for example, as 33131536 + 829900864 = 5756^2 + 28808^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 863032400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863032409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14357 + ... + 43956.

Almost surely, 2^863032400 is an apocalyptic number.

863032400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

863032400 is an abundant number, since it is smaller than the sum of its proper divisors (1266478252).

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

863032400 is a wasteful number, since it uses less digits than its factorization.

863032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58368 (or 58357 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 863032400 is about 29377.4130923742. The cubic root of 863032400 is about 952.0849499318.

Adding to 863032400 its reverse (4230368), we get a palindrome (867262768).

The spelling of 863032400 in words is "eight hundred sixty-three million, thirty-two thousand, four hundred".