363144416 has 48 divisors (see below), whose sum is σ = 776885760. Its totient is φ = 166458240.

The previous prime is 363144391. The next prime is 363144433. The reversal of 363144416 is 614441363.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9215 + ... + 28481.

It is an arithmetic number, because the mean of its divisors is an integer number (16185120).

Almost surely, 2^363144416 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 363144416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388442880).

363144416 is an abundant number, since it is smaller than the sum of its proper divisors (413741344).

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

363144416 is a wasteful number, since it uses less digits than its factorization.

363144416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19327 (or 19319 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 363144416 is about 19056.3484434978. The cubic root of 363144416 is about 713.4438361046.

Adding to 363144416 its reverse (614441363), we get a palindrome (977585779).

The spelling of 363144416 in words is "three hundred sixty-three million, one hundred forty-four thousand, four hundred sixteen".