512218464 has 96 divisors (see below), whose sum is σ = 1426408704. Its totient is φ = 160596480.

The previous prime is 512218459. The next prime is 512218489. The reversal of 512218464 is 464812215.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 132787 + ... + 136589.

It is an arithmetic number, because the mean of its divisors is an integer number (14858424).

Almost surely, 2^512218464 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 512218464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713204352).

512218464 is an abundant number, since it is smaller than the sum of its proper divisors (914190240).

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

512218464 is a wasteful number, since it uses less digits than its factorization.

512218464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900 (or 3892 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 512218464 is about 22632.2439011248. The cubic root of 512218464 is about 800.1137671539.

It can be divided in two parts, 51221 and 8464, that added together give a triangular number (59685 = T₃₄₅).

The spelling of 512218464 in words is "five hundred twelve million, two hundred eighteen thousand, four hundred sixty-four".