314123520 has 144 divisors (see below), whose sum is σ = 1011044160. Its totient is φ = 83116032.

The previous prime is 314123483. The next prime is 314123533. The reversal of 314123520 is 25321413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687132 + ... + 687588.

It is an arithmetic number, because the mean of its divisors is an integer number (7021140).

Almost surely, 2^314123520 is an apocalyptic number.

314123520 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 314123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505522080).

314123520 is an abundant number, since it is smaller than the sum of its proper divisors (696920640).

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

314123520 is a wasteful number, since it uses less digits than its factorization.

314123520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 314123520 is about 17723.5301224107. The cubic root of 314123520 is about 679.7775512289. Note that the first 3 decimals are identical.

Adding to 314123520 its reverse (25321413), we get a palindrome (339444933).

The spelling of 314123520 in words is "three hundred fourteen million, one hundred twenty-three thousand, five hundred twenty".