4205408256 has 312 divisors, whose sum is σ = 14243166080. Its totient is φ = 1170505728.

The previous prime is 4205408239. The next prime is 4205408257. The reversal of 4205408256 is 6528045024.

It is a happy number.

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 4205408256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4205408257) by changing a digit.

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, 11095875 + ... + 11096253.

Almost surely, 2^4205408256 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 4205408256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7121583040).

4205408256 is an abundant number, since it is smaller than the sum of its proper divisors (10037757824).

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

4205408256 is a wasteful number, since it uses less digits than its factorization.

4205408256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4205408256 is about 64849.1191613271. The cubic root of 4205408256 is about 1614.1208755858.

The spelling of 4205408256 in words is "four billion, two hundred five million, four hundred eight thousand, two hundred fifty-six".