314658240 has 224 divisors, whose sum is σ = 1133368320. Its totient is φ = 73322496.

The previous prime is 314658233. The next prime is 314658247. The reversal of 314658240 is 42856413.

It is an interprime number because it is at equal distance from previous prime (314658233) and next prime (314658247).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314658247) 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 31 ways as a sum of consecutive naturals, for example, 236457 + ... + 237783.

It is an arithmetic number, because the mean of its divisors is an integer number (5059680).

Almost surely, 2^314658240 is an apocalyptic number.

314658240 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 314658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566684160).

314658240 is an abundant number, since it is smaller than the sum of its proper divisors (818710080).

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

314658240 is a wasteful number, since it uses less digits than its factorization.

314658240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 314658240 is about 17738.6087391317. The cubic root of 314658240 is about 680.1630520187.

The spelling of 314658240 in words is "three hundred fourteen million, six hundred fifty-eight thousand, two hundred forty".