511967232 has 228 divisors, whose sum is σ = 1744827136. Its totient is φ = 141557760.

The previous prime is 511967221. The next prime is 511967233. The reversal of 511967232 is 232769115.

It is a super-2 number, since 2×511967232² = 524220893283483648, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (511967233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16515057 + ... + 16515087.

Almost surely, 2^511967232 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 511967232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872413568).

511967232 is an abundant number, since it is smaller than the sum of its proper divisors (1232859904).

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

511967232 is an frugal number, since it uses more digits than its factorization.

511967232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 43 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 511967232 is about 22626.6929090400. The cubic root of 511967232 is about 799.9829329692.

The spelling of 511967232 in words is "five hundred eleven million, nine hundred sixty-seven thousand, two hundred thirty-two".