363063800 has 96 divisors (see below), whose sum is σ = 926190720. Its totient is φ = 131260800.

The previous prime is 363063797. The next prime is 363063803. The reversal of 363063800 is 8360363.

It is an interprime number because it is at equal distance from previous prime (363063797) and next prime (363063803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363063803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499037 + ... + 499763.

It is an arithmetic number, because the mean of its divisors is an integer number (9647820).

Almost surely, 2^363063800 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 363063800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463095360).

363063800 is an abundant number, since it is smaller than the sum of its proper divisors (563126920).

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

363063800 is a wasteful number, since it uses less digits than its factorization.

363063800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 363063800 is about 19054.2331254763. The cubic root of 363063800 is about 713.3910387029.

The spelling of 363063800 in words is "three hundred sixty-three million, sixty-three thousand, eight hundred".