511930368 has 130 divisors (see below), whose sum is σ = 1530275384. Its totient is φ = 170532864.

The previous prime is 511930337. The next prime is 511930369. The reversal of 511930368 is 863039115.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511930369) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331005 + ... + 332547.

Almost surely, 2^511930368 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 511930368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765137692).

511930368 is an abundant number, since it is smaller than the sum of its proper divisors (1018345016).

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

511930368 is an equidigital number, since it uses as much as digits as its factorization.

511930368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 511930368 is about 22625.8782812955. The cubic root of 511930368 is about 799.9637316891.

The spelling of 511930368 in words is "five hundred eleven million, nine hundred thirty thousand, three hundred sixty-eight".