909042048 has 128 divisors (see below), whose sum is σ = 2755836000. Its totient is φ = 294782976.

The previous prime is 909042031. The next prime is 909042049. The reversal of 909042048 is 840240909.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (909042049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124318 + ... + 131426.

Almost surely, 2^909042048 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 909042048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377918000).

909042048 is an abundant number, since it is smaller than the sum of its proper divisors (1846793952).

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

909042048 is a wasteful number, since it uses less digits than its factorization.

909042048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7169 (or 7151 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 909042048 is about 30150.3241773617. The cubic root of 909042048 is about 968.7119503446.

The spelling of 909042048 in words is "nine hundred nine million, forty-two thousand, forty-eight".