904849920 has 640 divisors, whose sum is σ = 3712262400. Its totient is φ = 207028224.

The previous prime is 904849889. The next prime is 904849927. The reversal of 904849920 is 29948409.

904849920 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 (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (904849927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17072614 + ... + 17072666.

It is an arithmetic number, because the mean of its divisors is an integer number (5800410).

Almost surely, 2^904849920 is an apocalyptic number.

904849920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 904849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856131200).

904849920 is an abundant number, since it is smaller than the sum of its proper divisors (2807412480).

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

904849920 is a wasteful number, since it uses less digits than its factorization.

904849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 904849920 is about 30080.7233955568. The cubic root of 904849920 is about 967.2205550742.

The spelling of 904849920 in words is "nine hundred four million, eight hundred forty-nine thousand, nine hundred twenty".