363225200 has 120 divisors (see below), whose sum is σ = 980958048. Its totient is φ = 128240640.

The previous prime is 363225193. The next prime is 363225227. The reversal of 363225200 is 2522363.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118082 + ... + 121118.

Almost surely, 2^363225200 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 363225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490479024).

363225200 is an abundant number, since it is smaller than the sum of its proper divisors (617732848).

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

363225200 is a wasteful number, since it uses less digits than its factorization.

363225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 363225200 is about 19058.4679342281. The cubic root of 363225200 is about 713.4967356959.

Adding to 363225200 its reverse (2522363), we get a palindrome (365747563).

The spelling of 363225200 in words is "three hundred sixty-three million, two hundred twenty-five thousand, two hundred".