512421072 has 160 divisors (see below), whose sum is σ = 1481048064. Its totient is φ = 151910400.

The previous prime is 512421061. The next prime is 512421073. The reversal of 512421072 is 270124215.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512421073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1188697 + ... + 1189127.

Almost surely, 2^512421072 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 512421072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740524032).

512421072 is an abundant number, since it is smaller than the sum of its proper divisors (968626992).

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

512421072 is a wasteful number, since it uses less digits than its factorization.

512421072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 512421072 is about 22636.7195503235. The cubic root of 512421072 is about 800.2192482406.

Adding to 512421072 its reverse (270124215), we get a palindrome (782545287).

The spelling of 512421072 in words is "five hundred twelve million, four hundred twenty-one thousand, seventy-two".