314411520 has 80 divisors (see below), whose sum is σ = 1005158880. Its totient is φ = 83841024.

The previous prime is 314411519. The next prime is 314411521. The reversal of 314411520 is 25114413.

It is an interprime number because it is at equal distance from previous prime (314411519) and next prime (314411521).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (314411521) 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 7 ways as a sum of consecutive naturals, for example, 12790 + ... + 28149.

It is an arithmetic number, because the mean of its divisors is an integer number (12564486).

Almost surely, 2^314411520 is an apocalyptic number.

314411520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314411520 is an abundant number, since it is smaller than the sum of its proper divisors (690747360).

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

314411520 is an equidigital number, since it uses as much as digits as its factorization.

314411520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40965 (or 40949 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 314411520 is about 17731.6530532266. The cubic root of 314411520 is about 679.9852361270.

Adding to 314411520 its reverse (25114413), we get a palindrome (339525933).

The spelling of 314411520 in words is "three hundred fourteen million, four hundred eleven thousand, five hundred twenty".