215464512 has 112 divisors (see below), whose sum is σ = 591945984. Its totient is φ = 69120000.

The previous prime is 215464507. The next prime is 215464523.

215464512 is nontrivially palindromic in base 10.

215464512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 215464512.

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, 794937 + ... + 795207.

It is an arithmetic number, because the mean of its divisors is an integer number (5285232).

Almost surely, 2^215464512 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 215464512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295972992).

215464512 is an abundant number, since it is smaller than the sum of its proper divisors (376481472).

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

215464512 is a wasteful number, since it uses less digits than its factorization.

215464512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 418 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 215464512 is about 14678.7094800599. The cubic root of 215464512 is about 599.5037674797.

It can be divided in two parts, 2154 and 64512, that added together give a palindrome (66666).

The spelling of 215464512 in words is "two hundred fifteen million, four hundred sixty-four thousand, five hundred twelve".