363226416 has 120 divisors (see below), whose sum is σ = 1097094960. Its totient is φ = 103251456.

The previous prime is 363226393. The next prime is 363226417. The reversal of 363226416 is 614622363.

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

It is not an unprimeable number, because it can be changed into a prime (363226417) 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 23 ways as a sum of consecutive naturals, for example, 914730 + ... + 915126.

It is an arithmetic number, because the mean of its divisors is an integer number (9142458).

Almost surely, 2^363226416 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 363226416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548547480).

363226416 is an abundant number, since it is smaller than the sum of its proper divisors (733868544).

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

363226416 is a wasteful number, since it uses less digits than its factorization.

363226416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 798 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 363226416 is about 19058.4998360312. The cubic root of 363226416 is about 713.4975319063.

Adding to 363226416 its reverse (614622363), we get a palindrome (977848779).

The spelling of 363226416 in words is "three hundred sixty-three million, two hundred twenty-six thousand, four hundred sixteen".