512079264 has 144 divisors (see below), whose sum is σ = 1500145920. Its totient is φ = 165634560.

The previous prime is 512079259. The next prime is 512079277. The reversal of 512079264 is 462970215.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1615234 + ... + 1615550.

It is an arithmetic number, because the mean of its divisors is an integer number (10417680).

Almost surely, 2^512079264 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 512079264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750072960).

512079264 is an abundant number, since it is smaller than the sum of its proper divisors (988066656).

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

512079264 is a wasteful number, since it uses less digits than its factorization.

512079264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 512079264 is about 22629.1684336831. The cubic root of 512079264 is about 800.0412812031.

The spelling of 512079264 in words is "five hundred twelve million, seventy-nine thousand, two hundred sixty-four".