314214240 has 48 divisors (see below), whose sum is σ = 989776368. Its totient is φ = 83790336.

The previous prime is 314214221. The next prime is 314214269. The reversal of 314214240 is 42412413.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 326827 + ... + 327786.

It is an arithmetic number, because the mean of its divisors is an integer number (20620341).

Almost surely, 2^314214240 is an apocalyptic number.

314214240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314214240 is an abundant number, since it is smaller than the sum of its proper divisors (675562128).

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

314214240 is a wasteful number, since it uses less digits than its factorization.

314214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654631 (or 654623 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 314214240 is about 17726.0892472085. The cubic root of 314214240 is about 679.8429856623.

Adding to 314214240 its reverse (42412413), we get a palindrome (356626653).

The spelling of 314214240 in words is "three hundred fourteen million, two hundred fourteen thousand, two hundred forty".