9405896256 has 147 divisors (see below), whose sum is σ = 28046901361. Its totient is φ = 3128315904.

The previous prime is 9405896179. The next prime is 9405896257. The reversal of 9405896256 is 6526985049.

It is a happy number.

The square root of 9405896256 is 96984.

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

9405896256 is a `hidden beast` number, since 9 + 4 + 0 + 5 + 8 + 9 + 625 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5748065856 + 3657830400 = 75816^2 + 60480^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9405896257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 20948320 + ... + 20948768.

Almost surely, 2^9405896256 is an apocalyptic number.

9405896256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9405896256 is the 96984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9405896256

9405896256 is an abundant number, since it is smaller than the sum of its proper divisors (18641005105).

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

9405896256 is an frugal number, since it uses more digits than its factorization.

9405896256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The cubic root of 9405896256 is about 2110.8954710103.

The spelling of 9405896256 in words is "nine billion, four hundred five million, eight hundred ninety-six thousand, two hundred fifty-six".