814303350 has 216 divisors, whose sum is σ = 2593159920. Its totient is φ = 179452800.

The previous prime is 814303307. The next prime is 814303397. The reversal of 814303350 is 53303418.

It is a happy number.

814303350 is a `hidden beast` number, since 8 + 1 + 4 + 303 + 350 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3027016 + ... + 3027284.

It is an arithmetic number, because the mean of its divisors is an integer number (12005370).

Almost surely, 2^814303350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814303350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296579960).

814303350 is an abundant number, since it is smaller than the sum of its proper divisors (1778856570).

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

814303350 is a wasteful number, since it uses less digits than its factorization.

814303350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 814303350 is about 28536.0009461732. Note that the first 3 decimals coincide. The cubic root of 814303350 is about 933.8176405143.

Adding to 814303350 its reverse (53303418), we get a palindrome (867606768).

The spelling of 814303350 in words is "eight hundred fourteen million, three hundred three thousand, three hundred fifty".