512028440 has 288 divisors, whose sum is σ = 1571996160. Its totient is φ = 149022720.

The previous prime is 512028427. The next prime is 512028469. The reversal of 512028440 is 44820215.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4031657 + ... + 4031783.

It is an arithmetic number, because the mean of its divisors is an integer number (5458320).

Almost surely, 2^512028440 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 512028440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785998080).

512028440 is an abundant number, since it is smaller than the sum of its proper divisors (1059967720).

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

512028440 is a wasteful number, since it uses less digits than its factorization.

512028440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 512028440 is about 22628.0454303946. The cubic root of 512028440 is about 800.0148122257.

Adding to 512028440 its reverse (44820215), we get a palindrome (556848655).

Subtracting from 512028440 its reverse (44820215), we obtain a square (467208225 = 21615²).

The spelling of 512028440 in words is "five hundred twelve million, twenty-eight thousand, four hundred forty".