514936000 has 112 divisors (see below), whose sum is σ = 1285719552. Its totient is φ = 204288000.

The previous prime is 514935997. The next prime is 514936003. The reversal of 514936000 is 639415.

514936000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (514935997) and next prime (514936003).

It is a self number, because there is not a number n which added to its sum of digits gives 514936000.

It is not an unprimeable number, because it can be changed into a prime (514936003) 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 15 ways as a sum of consecutive naturals, for example, 1527832 + ... + 1528168.

Almost surely, 2^514936000 is an apocalyptic number.

514936000 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 514936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642859776).

514936000 is an abundant number, since it is smaller than the sum of its proper divisors (770783552).

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

514936000 is a wasteful number, since it uses less digits than its factorization.

514936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 514936000 is about 22692.2013035316. The cubic root of 514936000 is about 801.5262530046.

The spelling of 514936000 in words is "five hundred fourteen million, nine hundred thirty-six thousand".