314365840 has 40 divisors (see below), whose sum is σ = 762683328. Its totient is φ = 120278400.

The previous prime is 314365837. The next prime is 314365841. The reversal of 314365840 is 48563413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 314365796 and 314365805.

It is not an unprimeable number, because it can be changed into a prime (314365841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83586 + ... + 87265.

Almost surely, 2^314365840 is an apocalyptic number.

It is an amenable number.

314365840 is an abundant number, since it is smaller than the sum of its proper divisors (448317488).

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

314365840 is a wasteful number, since it uses less digits than its factorization.

314365840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170887 (or 170881 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 314365840 is about 17730.3649144624. The cubic root of 314365840 is about 679.9523034596.

The spelling of 314365840 in words is "three hundred fourteen million, three hundred sixty-five thousand, eight hundred forty".