514330240 has 128 divisors (see below), whose sum is σ = 1334808720. Its totient is φ = 188743680.

The previous prime is 514330231. The next prime is 514330241. The reversal of 514330240 is 42033415.

It can be written as a sum of positive squares in 8 ways, for example, as 231283264 + 283046976 = 15208^2 + 16824^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (514330241) 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 15 ways as a sum of consecutive naturals, for example, 445504 + ... + 446656.

Almost surely, 2^514330240 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 514330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667404360).

514330240 is an abundant number, since it is smaller than the sum of its proper divisors (820478480).

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

514330240 is a wasteful number, since it uses less digits than its factorization.

514330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 514330240 is about 22678.8500590308. The cubic root of 514330240 is about 801.2118300746.

Adding to 514330240 its reverse (42033415), we get a palindrome (556363655).

The spelling of 514330240 in words is "five hundred fourteen million, three hundred thirty thousand, two hundred forty".