350314440 has 128 divisors (see below), whose sum is σ = 1216512000. Its totient is φ = 79043328.

The previous prime is 350314439. The next prime is 350314463. The reversal of 350314440 is 44413053.

350314440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 350314440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63721 + ... + 68999.

It is an arithmetic number, because the mean of its divisors is an integer number (9504000).

Almost surely, 2^350314440 is an apocalyptic number.

350314440 is a gapful number since it is divisible by the number (30) 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 350314440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608256000).

350314440 is an abundant number, since it is smaller than the sum of its proper divisors (866197560).

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

350314440 is a wasteful number, since it uses less digits than its factorization.

350314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5379 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 350314440 is about 18716.6888097227. The cubic root of 350314440 is about 704.9408531437.

Adding to 350314440 its reverse (44413053), we get a palindrome (394727493).

The spelling of 350314440 in words is "three hundred fifty million, three hundred fourteen thousand, four hundred forty".