512040240 has 240 divisors, whose sum is σ = 1801893600. Its totient is φ = 130142208.

The previous prime is 512040227. The next prime is 512040247. The reversal of 512040240 is 42040215.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (512040247) 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 47 ways as a sum of consecutive naturals, for example, 2860471 + ... + 2860649.

It is an arithmetic number, because the mean of its divisors is an integer number (7507890).

Almost surely, 2^512040240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900946800).

512040240 is an abundant number, since it is smaller than the sum of its proper divisors (1289853360).

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

512040240 is a wasteful number, since it uses less digits than its factorization.

512040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 512040240 is about 22628.3061672764. The cubic root of 512040240 is about 800.0209577843.

Adding to 512040240 its reverse (42040215), we get a palindrome (554080455).

The spelling of 512040240 in words is "five hundred twelve million, forty thousand, two hundred forty".