360401216 has 56 divisors (see below), whose sum is σ = 819399936. Its totient is φ = 154068480.

The previous prime is 360401203. The next prime is 360401221. The reversal of 360401216 is 612104063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 360401191 and 360401200.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 241625 + ... + 243111.

Almost surely, 2^360401216 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 360401216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409699968).

360401216 is an abundant number, since it is smaller than the sum of its proper divisors (458998720).

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

360401216 is a wasteful number, since it uses less digits than its factorization.

360401216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 360401216 is about 18984.2359867338. The cubic root of 360401216 is about 711.6428373195.

Adding to 360401216 its reverse (612104063), we get a palindrome (972505279).

The spelling of 360401216 in words is "three hundred sixty million, four hundred one thousand, two hundred sixteen".