512420832 has 216 divisors, whose sum is σ = 1849767192. Its totient is φ = 133056000.

The previous prime is 512420827. The next prime is 512420849. The reversal of 512420832 is 238024215.

It is a junction number, because it is equal to n+sod(n) for n = 512420796 and 512420805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 153582 + ... + 156882.

It is an arithmetic number, because the mean of its divisors is an integer number (8563737).

Almost surely, 2^512420832 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 512420832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924883596).

512420832 is an abundant number, since it is smaller than the sum of its proper divisors (1337346360).

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

512420832 is a wasteful number, since it uses less digits than its factorization.

512420832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 512420832 is about 22636.7142492015. The cubic root of 512420832 is about 800.2191233091.

The spelling of 512420832 in words is "five hundred twelve million, four hundred twenty thousand, eight hundred thirty-two".