314347440 has 320 divisors, whose sum is σ = 1151926272. Its totient is φ = 70118400.

The previous prime is 314347403. The next prime is 314347487. The reversal of 314347440 is 44743413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 314347398 and 314347407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1882237 + ... + 1882403.

Almost surely, 2^314347440 is an apocalyptic number.

314347440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314347440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575963136).

314347440 is an abundant number, since it is smaller than the sum of its proper divisors (837578832).

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

314347440 is a wasteful number, since it uses less digits than its factorization.

314347440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 314347440 is about 17729.8460230201. The cubic root of 314347440 is about 679.9390372107.

The spelling of 314347440 in words is "three hundred fourteen million, three hundred forty-seven thousand, four hundred forty".