215715456 has 192 divisors, whose sum is σ = 701719200. Its totient is φ = 63006720.

The previous prime is 215715443. The next prime is 215715463. The reversal of 215715456 is 654517512.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 215715456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367195 + ... + 367781.

Almost surely, 2^215715456 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 215715456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350859600).

215715456 is an abundant number, since it is smaller than the sum of its proper divisors (486003744).

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

215715456 is a wasteful number, since it uses less digits than its factorization.

215715456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 632 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 215715456 is about 14687.2548830610. The cubic root of 215715456 is about 599.7364175574.

The spelling of 215715456 in words is "two hundred fifteen million, seven hundred fifteen thousand, four hundred fifty-six".