314754440 has 192 divisors, whose sum is σ = 968708160. Its totient is φ = 90478080.

The previous prime is 314754389. The next prime is 314754443. The reversal of 314754440 is 44457413.

It is a junction number, because it is equal to n+sod(n) for n = 314754397 and 314754406.

It is not an unprimeable number, because it can be changed into a prime (314754443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279719 + ... + 280841.

It is an arithmetic number, because the mean of its divisors is an integer number (5045355).

Almost surely, 2^314754440 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 314754440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484354080).

314754440 is an abundant number, since it is smaller than the sum of its proper divisors (653953720).

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

314754440 is a wasteful number, since it uses less digits than its factorization.

314754440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 314754440 is about 17741.3201312642. The cubic root of 314754440 is about 680.2323600385.

The spelling of 314754440 in words is "three hundred fourteen million, seven hundred fifty-four thousand, four hundred forty".