514260000 has 180 divisors, whose sum is σ = 1828088262. Its totient is φ = 137088000.

The previous prime is 514259971. The next prime is 514260037. The reversal of 514260000 is 62415.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 19820304 + 494439696 = 4452^2 + 22236^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 178572 + ... + 181428.

Almost surely, 2^514260000 is an apocalyptic number.

514260000 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 514260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914044131).

514260000 is an abundant number, since it is smaller than the sum of its proper divisors (1313828262).

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

514260000 is a wasteful number, since it uses less digits than its factorization.

514260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 514260000 is about 22677.3014267571. The cubic root of 514260000 is about 801.1753556615.

The spelling of 514260000 in words is "five hundred fourteen million, two hundred sixty thousand".