903263040 has 336 divisors, whose sum is σ = 3466307520. Its totient is φ = 214548480.

The previous prime is 903262961. The next prime is 903263041. The reversal of 903263040 is 40362309.

903263040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 903262995 and 903263013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (903263041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 929755 + ... + 930725.

Almost surely, 2^903263040 is an apocalyptic number.

903263040 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 903263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733153760).

903263040 is an abundant number, since it is smaller than the sum of its proper divisors (2563044480).

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

903263040 is a wasteful number, since it uses less digits than its factorization.

903263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 903263040 is about 30054.3347955000. The cubic root of 903263040 is about 966.6548033952.

The spelling of 903263040 in words is "nine hundred three million, two hundred sixty-three thousand, forty".