314213760 has 192 divisors, whose sum is σ = 1240181280. Its totient is φ = 71811072.

The previous prime is 314213743. The next prime is 314213761. The reversal of 314213760 is 67312413.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314213761) 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 23 ways as a sum of consecutive naturals, for example, 36424 + ... + 44216.

Almost surely, 2^314213760 is an apocalyptic number.

314213760 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 314213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620090640).

314213760 is an abundant number, since it is smaller than the sum of its proper divisors (925967520).

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

314213760 is a wasteful number, since it uses less digits than its factorization.

314213760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7825 (or 7810 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 314213760 is about 17726.0757078379. The cubic root of 314213760 is about 679.8426394815.

The spelling of 314213760 in words is "three hundred fourteen million, two hundred thirteen thousand, seven hundred sixty".