512949264 has 80 divisors (see below), whose sum is σ = 1359502272. Its totient is φ = 166593024.

The previous prime is 512949259. The next prime is 512949271. The reversal of 512949264 is 462949215.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414054 + ... + 415290.

Almost surely, 2^512949264 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 512949264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679751136).

512949264 is an abundant number, since it is smaller than the sum of its proper divisors (846553008).

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

512949264 is a wasteful number, since it uses less digits than its factorization.

512949264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1458 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 512949264 is about 22648.3832535570. The cubic root of 512949264 is about 800.4941030982.

The spelling of 512949264 in words is "five hundred twelve million, nine hundred forty-nine thousand, two hundred sixty-four".