288456256 has 63 divisors (see below), whose sum is σ = 632449713. Its totient is φ = 130437120.

The previous prime is 288456253. The next prime is 288456269. The reversal of 288456256 is 652654882.

The square root of 288456256 is 16984.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 69889600 + 218566656 = 8360^2 + 14784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288456253) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1494496 + ... + 1494688.

Almost surely, 2^288456256 is an apocalyptic number.

288456256 is the 16984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288456256

288456256 is an abundant number, since it is smaller than the sum of its proper divisors (343993457).

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

288456256 is an equidigital number, since it uses as much as digits as its factorization.

288456256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 206 counting only the distinct ones).

The product of its digits is 921600, while the sum is 46.

The cubic root of 288456256 is about 660.7339982192.

Multiplying 288456256 by its product of digits (921600), we get a square (265841285529600 = 16304640²).

The spelling of 288456256 in words is "two hundred eighty-eight million, four hundred fifty-six thousand, two hundred fifty-six".