361222416 has 200 divisors, whose sum is σ = 1112936704. Its totient is φ = 113374080.

The previous prime is 361222399. The next prime is 361222427. The reversal of 361222416 is 614222163.

361222416 is a `hidden beast` number, since 3 + 612 + 2 + 2 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 361222416.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9762750 + ... + 9762786.

Almost surely, 2^361222416 is an apocalyptic number.

361222416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361222416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556468352).

361222416 is an abundant number, since it is smaller than the sum of its proper divisors (751714288).

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

361222416 is an frugal number, since it uses more digits than its factorization.

361222416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 73 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 361222416 is about 19005.8521513770. The cubic root of 361222416 is about 712.1829370441.

Adding to 361222416 its reverse (614222163), we get a palindrome (975444579).

The spelling of 361222416 in words is "three hundred sixty-one million, two hundred twenty-two thousand, four hundred sixteen".