908045952 has 96 divisors (see below), whose sum is σ = 2651339040. Its totient is φ = 275151360.

The previous prime is 908045927. The next prime is 908045953. The reversal of 908045952 is 259540809.

908045952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (908045953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36693 + ... + 56235.

It is an arithmetic number, because the mean of its divisors is an integer number (27618115).

Almost surely, 2^908045952 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 908045952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325669520).

908045952 is an abundant number, since it is smaller than the sum of its proper divisors (1743293088).

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

908045952 is a wasteful number, since it uses less digits than its factorization.

908045952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19582 (or 19559 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 908045952 is about 30133.8008223324. The cubic root of 908045952 is about 968.3579943088.

The spelling of 908045952 in words is "nine hundred eight million, forty-five thousand, nine hundred fifty-two".