512440632 has 192 divisors, whose sum is σ = 1591349760. Its totient is φ = 147571200.

The previous prime is 512440631. The next prime is 512440637. The reversal of 512440632 is 236044215.

512440632 is a `hidden beast` number, since 5 + 1 + 24 + 4 + 0 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 512440596 and 512440605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512440631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1396113 + ... + 1396479.

It is an arithmetic number, because the mean of its divisors is an integer number (8288280).

Almost surely, 2^512440632 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 512440632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795674880).

512440632 is an abundant number, since it is smaller than the sum of its proper divisors (1078909128).

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

512440632 is a wasteful number, since it uses less digits than its factorization.

512440632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 512440632 is about 22637.1515876004. The cubic root of 512440632 is about 800.2294300294.

Adding to 512440632 its reverse (236044215), we get a palindrome (748484847).

It can be divided in two parts, 512 and 440632, that added together give a palindrome (441144).

The spelling of 512440632 in words is "five hundred twelve million, four hundred forty thousand, six hundred thirty-two".