905799312 has 120 divisors (see below), whose sum is σ = 2911078560. Its totient is φ = 260029440.

The previous prime is 905799247. The next prime is 905799361. The reversal of 905799312 is 213997509.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 15048 + ... + 45144.

It is an arithmetic number, because the mean of its divisors is an integer number (24258988).

Almost surely, 2^905799312 is an apocalyptic number.

It is a pronic number, being equal to 30096×30097.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 905799312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455539280).

905799312 is an abundant number, since it is smaller than the sum of its proper divisors (2005279248).

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

905799312 is a wasteful number, since it uses less digits than its factorization.

905799312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30141 (or 30132 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 905799312 is about 30096.4999958467. The cubic root of 905799312 is about 967.5587144625.

The spelling of 905799312 in words is "nine hundred five million, seven hundred ninety-nine thousand, three hundred twelve".