514398200 has 48 divisors (see below), whose sum is σ = 1202969880. Its totient is φ = 204556160.

The previous prime is 514398193. The next prime is 514398217. The reversal of 514398200 is 2893415.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 27167 + ... + 42033.

Almost surely, 2^514398200 is an apocalyptic number.

514398200 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 514398200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601484940).

514398200 is an abundant number, since it is smaller than the sum of its proper divisors (688571680).

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

514398200 is a wasteful number, since it uses less digits than its factorization.

514398200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15056 (or 15047 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 514398200 is about 22680.3483218402. The cubic root of 514398200 is about 801.2471173626.

The spelling of 514398200 in words is "five hundred fourteen million, three hundred ninety-eight thousand, two hundred".