295953408256 has 135 divisors (see below), whose sum is σ = 652142551165. Its totient is φ = 134045542400.

The previous prime is 295953408253. The next prime is 295953408259. The reversal of 295953408256 is 652804359592.

The square root of 295953408256 is 544016.

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

It is an interprime number because it is at equal distance from previous prime (295953408253) and next prime (295953408259).

It can be written as a sum of positive squares in only one way, i.e., 200002150656 + 95951257600 = 447216^2 + 309760^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 295953408256.

It is not an unprimeable number, because it can be changed into a prime (295953408253) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1053214836 + ... + 1053215116.

Almost surely, 2^295953408256 is an apocalyptic number.

295953408256 is the 544016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 295953408256

295953408256 is an abundant number, since it is smaller than the sum of its proper divisors (356189142909).

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

295953408256 is an frugal number, since it uses more digits than its factorization.

295953408256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 58.

The spelling of 295953408256 in words is "two hundred ninety-five billion, nine hundred fifty-three million, four hundred eight thousand, two hundred fifty-six".