512240000 has 160 divisors (see below), whose sum is σ = 1346287800. Its totient is φ = 193536000.

The previous prime is 512239993. The next prime is 512240011. The reversal of 512240000 is 42215.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1519832 + ... + 1520168.

Almost surely, 2^512240000 is an apocalyptic number.

512240000 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 512240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673143900).

512240000 is an abundant number, since it is smaller than the sum of its proper divisors (834047800).

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

512240000 is an equidigital number, since it uses as much as digits as its factorization.

512240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 512240000 is about 22632.7196774935. The cubic root of 512240000 is about 800.1249804738.

Adding to 512240000 its reverse (42215), we get a palindrome (512282215).

The spelling of 512240000 in words is "five hundred twelve million, two hundred forty thousand".