314729844 has 96 divisors (see below), whose sum is σ = 886252416. Its totient is φ = 85639680.

The previous prime is 314729819. The next prime is 314729873. The reversal of 314729844 is 448927413.

It is a junction number, because it is equal to n+sod(n) for n = 314729796 and 314729805.

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 31 ways as a sum of consecutive naturals, for example, 61014 + ... + 65970.

It is an arithmetic number, because the mean of its divisors is an integer number (9231796).

Almost surely, 2^314729844 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 314729844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443126208).

314729844 is an abundant number, since it is smaller than the sum of its proper divisors (571522572).

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

314729844 is a wasteful number, since it uses less digits than its factorization.

314729844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025 (or 5023 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 314729844 is about 17740.6269336797. The cubic root of 314729844 is about 680.2146410076.

The spelling of 314729844 in words is "three hundred fourteen million, seven hundred twenty-nine thousand, eight hundred forty-four".