514430000 has 100 divisors (see below), whose sum is σ = 1423606800. Its totient is φ = 176352000.

The previous prime is 514429991. The next prime is 514430009. The reversal of 514430000 is 34415.

It is an interprime number because it is at equal distance from previous prime (514429991) and next prime (514430009).

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (514430009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66326 + ... + 73674.

It is an arithmetic number, because the mean of its divisors is an integer number (14236068).

Almost surely, 2^514430000 is an apocalyptic number.

514430000 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 514430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711803400).

514430000 is an abundant number, since it is smaller than the sum of its proper divisors (909176800).

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

514430000 is an equidigital number, since it uses as much as digits as its factorization.

514430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7384 (or 7363 counting only the distinct ones).

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

The square root of 514430000 is about 22681.0493584402. The cubic root of 514430000 is about 801.2636280044.

Adding to 514430000 its reverse (34415), we get a palindrome (514464415).

The spelling of 514430000 in words is "five hundred fourteen million, four hundred thirty thousand".