903249920 has 128 divisors (see below), whose sum is σ = 2241297000. Its totient is φ = 349175808.

The previous prime is 903249917. The next prime is 903249947. The reversal of 903249920 is 29942309.

It can be written as a sum of positive squares in 4 ways, for example, as 729432064 + 173817856 = 27008^2 + 13184^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6062006 + ... + 6062154.

Almost surely, 2^903249920 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 903249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120648500).

903249920 is an abundant number, since it is smaller than the sum of its proper divisors (1338047080).

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

903249920 is an equidigital number, since it uses as much as digits as its factorization.

903249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 903249920 is about 30054.1165233650. The cubic root of 903249920 is about 966.6501231149.

The spelling of 903249920 in words is "nine hundred three million, two hundred forty-nine thousand, nine hundred twenty".