905256960 has 224 divisors, whose sum is σ = 2972531520. Its totient is φ = 235143168.

The previous prime is 905256943. The next prime is 905256967. The reversal of 905256960 is 69652509.

It is not an unprimeable number, because it can be changed into a prime (905256967) 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 15 ways as a sum of consecutive naturals, for example, 6512571 + ... + 6512709.

It is an arithmetic number, because the mean of its divisors is an integer number (13270230).

Almost surely, 2^905256960 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 905256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486265760).

905256960 is an abundant number, since it is smaller than the sum of its proper divisors (2067274560).

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

905256960 is a wasteful number, since it uses less digits than its factorization.

905256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 905256960 is about 30087.4884295782. The cubic root of 905256960 is about 967.3655656544.

The spelling of 905256960 in words is "nine hundred five million, two hundred fifty-six thousand, nine hundred sixty".