514314120 has 128 divisors (see below), whose sum is σ = 1583971200. Its totient is φ = 133545984.

The previous prime is 514314083. The next prime is 514314133. The reversal of 514314120 is 21413415.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1227271 + ... + 1227689.

It is an arithmetic number, because the mean of its divisors is an integer number (12374775).

Almost surely, 2^514314120 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 514314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791985600).

514314120 is an abundant number, since it is smaller than the sum of its proper divisors (1069657080).

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

514314120 is a wasteful number, since it uses less digits than its factorization.

514314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 514314120 is about 22678.4946590377. The cubic root of 514314120 is about 801.2034595320.

Adding to 514314120 its reverse (21413415), we get a palindrome (535727535).

The spelling of 514314120 in words is "five hundred fourteen million, three hundred fourteen thousand, one hundred twenty".