361440200 has 48 divisors (see below), whose sum is σ = 916749360. Its totient is φ = 131432000.

The previous prime is 361440169. The next prime is 361440203. The reversal of 361440200 is 2044163.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (361440203) 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, 79946 + ... + 84345.

It is an arithmetic number, because the mean of its divisors is an integer number (19098945).

Almost surely, 2^361440200 is an apocalyptic number.

It is an amenable number.

361440200 is an abundant number, since it is smaller than the sum of its proper divisors (555309160).

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

361440200 is a wasteful number, since it uses less digits than its factorization.

361440200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164318 (or 164309 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 361440200 is about 19011.5806812585. The cubic root of 361440200 is about 712.3260352956.

Adding to 361440200 its reverse (2044163), we get a palindrome (363484363).

The spelling of 361440200 in words is "three hundred sixty-one million, four hundred forty thousand, two hundred".