314141160 has 64 divisors (see below), whose sum is σ = 943588800. Its totient is φ = 83667456.

The previous prime is 314141141. The next prime is 314141167. The reversal of 314141160 is 61141413.

It is a super-2 number, since 2×314141160² = 197369336812291200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314141167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192267 + ... + 193893.

It is an arithmetic number, because the mean of its divisors is an integer number (14743575).

Almost surely, 2^314141160 is an apocalyptic number.

314141160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314141160 is an abundant number, since it is smaller than the sum of its proper divisors (629447640).

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

314141160 is a wasteful number, since it uses less digits than its factorization.

314141160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 314141160 is about 17724.0277589491. The cubic root of 314141160 is about 679.7902755776.

Adding to 314141160 its reverse (61141413), we get a palindrome (375282573).

The spelling of 314141160 in words is "three hundred fourteen million, one hundred forty-one thousand, one hundred sixty".