8404652256 has 288 divisors, whose sum is σ = 29850153984. Its totient is φ = 2014848000.

The previous prime is 8404652233. The next prime is 8404652297. The reversal of 8404652256 is 6522564048.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1053081 + ... + 1061031.

It is an arithmetic number, because the mean of its divisors is an integer number (103646368).

Almost surely, 2^8404652256 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 8404652256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14925076992).

8404652256 is an abundant number, since it is smaller than the sum of its proper divisors (21445501728).

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

8404652256 is a wasteful number, since it uses less digits than its factorization.

8404652256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8006 (or 7987 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The square root of 8404652256 is about 91676.8905231847. The cubic root of 8404652256 is about 2033.1679250080.

The spelling of 8404652256 in words is "eight billion, four hundred four million, six hundred fifty-two thousand, two hundred fifty-six".