903978240 has 144 divisors (see below), whose sum is σ = 3149689536. Its totient is φ = 219136000.

The previous prime is 903978233. The next prime is 903978289. The reversal of 903978240 is 42879309.

It is a junction number, because it is equal to n+sod(n) for n = 903978192 and 903978201.

It is a congruent number.

It is an unprimeable number.

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, 31540 + ... + 52940.

It is an arithmetic number, because the mean of its divisors is an integer number (21872844).

Almost surely, 2^903978240 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 903978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574844768).

903978240 is an abundant number, since it is smaller than the sum of its proper divisors (2245711296).

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

903978240 is a wasteful number, since it uses less digits than its factorization.

903978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21436 (or 21422 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 903978240 is about 30066.2308911510. The cubic root of 903978240 is about 966.9098672010.

The spelling of 903978240 in words is "nine hundred three million, nine hundred seventy-eight thousand, two hundred forty".