314416050 has 144 divisors (see below), whose sum is σ = 860480640. Its totient is φ = 75928320.

The previous prime is 314416033. The next prime is 314416051. The reversal of 314416050 is 50614413.

It is a self number, because there is not a number n which added to its sum of digits gives 314416050.

It is not an unprimeable number, because it can be changed into a prime (314416051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2002572 + ... + 2002728.

It is an arithmetic number, because the mean of its divisors is an integer number (5975560).

Almost surely, 2^314416050 is an apocalyptic number.

314416050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314416050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430240320).

314416050 is an abundant number, since it is smaller than the sum of its proper divisors (546064590).

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

314416050 is a wasteful number, since it uses less digits than its factorization.

314416050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 314416050 is about 17731.7807904339. The cubic root of 314416050 is about 679.9885018240.

The spelling of 314416050 in words is "three hundred fourteen million, four hundred sixteen thousand, fifty".