746416314 has 144 divisors (see below), whose sum is σ = 2024388288. Its totient is φ = 197455104.

The previous prime is 746416289. The next prime is 746416351. The reversal of 746416314 is 413614647.

746416314 is a `hidden beast` number, since 7 + 4 + 641 + 6 + 3 + 1 + 4 = 666.

It is an unprimeable number.

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, 1004227 + ... + 1004969.

It is an arithmetic number, because the mean of its divisors is an integer number (14058252).

Almost surely, 2^746416314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746416314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012194144).

746416314 is an abundant number, since it is smaller than the sum of its proper divisors (1277971974).

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

746416314 is a wasteful number, since it uses less digits than its factorization.

746416314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 839 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 746416314 is about 27320.6206737695. The cubic root of 746416314 is about 907.1108765900.

The spelling of 746416314 in words is "seven hundred forty-six million, four hundred sixteen thousand, three hundred fourteen".