314242512 has 80 divisors (see below), whose sum is σ = 835982208. Its totient is φ = 101670400.

The previous prime is 314242499. The next prime is 314242519. The reversal of 314242512 is 215242413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314242519) 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, 256333 + ... + 257555.

Almost surely, 2^314242512 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 314242512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417991104).

314242512 is an abundant number, since it is smaller than the sum of its proper divisors (521739696).

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

314242512 is a wasteful number, since it uses less digits than its factorization.

314242512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1382 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 314242512 is about 17726.8866978948. The cubic root of 314242512 is about 679.8633750888.

Adding to 314242512 its reverse (215242413), we get a palindrome (529484925).

Subtracting from 314242512 its reverse (215242413), we obtain a palindrome (99000099).

It can be divided in two parts, 3142 and 42512, that added together give a palindrome (45654).

The spelling of 314242512 in words is "three hundred fourteen million, two hundred forty-two thousand, five hundred twelve".