350444416 has 64 divisors (see below), whose sum is σ = 801866880. Its totient is φ = 149442048.

The previous prime is 350444359. The next prime is 350444459. The reversal of 350444416 is 614444053.

350444416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×350444416² = 245622577411162112, which contains 22 as substring.

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, 202531 + ... + 204253.

It is an arithmetic number, because the mean of its divisors is an integer number (12529170).

Almost surely, 2^350444416 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 350444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400933440).

350444416 is an abundant number, since it is smaller than the sum of its proper divisors (451422464).

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

350444416 is a wasteful number, since it uses less digits than its factorization.

350444416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 350444416 is about 18720.1606830711. The cubic root of 350444416 is about 705.0280263157.

Adding to 350444416 its reverse (614444053), we get a palindrome (964888469).

The spelling of 350444416 in words is "three hundred fifty million, four hundred forty-four thousand, four hundred sixteen".