408202262528256 has 729 divisors, whose sum is σ = 1381485420740061. Its totient is φ = 115583781261312.

The previous prime is 408202262528251. The next prime is 408202262528279. The reversal of 408202262528256 is 652825262202804.

The square root of 408202262528256 is 20204016.

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

408202262528256 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 0 + 2 + 2 + 62 + 528 + 2 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 119650344710400 + 288551917817856 = 10938480^2 + 16986816^2 .

It is not an unprimeable number, because it can be changed into a prime (408202262528251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1065802251841 + ... + 1065802252223.

Almost surely, 2^{408202262528256} is an apocalyptic number.

408202262528256 is the 20204016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408202262528256

408202262528256 is an abundant number, since it is smaller than the sum of its proper divisors (973283158211805).

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

408202262528256 is an frugal number, since it uses more digits than its factorization.

408202262528256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 408202262528256 in words is "four hundred eight trillion, two hundred two billion, two hundred sixty-two million, five hundred twenty-eight thousand, two hundred fifty-six".