314242600 has 96 divisors (see below), whose sum is σ = 840035520. Its totient is φ = 107089920.

The previous prime is 314242547. The next prime is 314242601. The reversal of 314242600 is 6242413.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314242601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269619 + ... + 270781.

It is an arithmetic number, because the mean of its divisors is an integer number (8750370).

Almost surely, 2^314242600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314242600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420017760).

314242600 is an abundant number, since it is smaller than the sum of its proper divisors (525792920).

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

314242600 is a wasteful number, since it uses less digits than its factorization.

314242600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 314242600 is about 17726.8891800000. The cubic root of 314242600 is about 679.8634385514.

The spelling of 314242600 in words is "three hundred fourteen million, two hundred forty-two thousand, six hundred".