514340000 has 60 divisors (see below), whose sum is σ = 1265402754. Its totient is φ = 205728000.

The previous prime is 514339999. The next prime is 514340009. The reversal of 514340000 is 43415.

It can be written as a sum of positive squares in 5 ways, for example, as 12759184 + 501580816 = 3572^2 + 22396^2 .

It is not an unprimeable number, because it can be changed into a prime (514340009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7142 + ... + 32858.

Almost surely, 2^514340000 is an apocalyptic number.

514340000 is a gapful number since it is divisible by the number (50) 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 514340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632701377).

514340000 is an abundant number, since it is smaller than the sum of its proper divisors (751062754).

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

514340000 is an equidigital number, since it uses as much as digits as its factorization.

514340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25747 (or 25724 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 514340000 is about 22679.0652364686. The cubic root of 514340000 is about 801.2168980105.

Adding to 514340000 its reverse (43415), we get a palindrome (514383415).

The spelling of 514340000 in words is "five hundred fourteen million, three hundred forty thousand".