903463680 has 576 divisors, whose sum is σ = 3649766400. Its totient is φ = 185794560.

The previous prime is 903463643. The next prime is 903463681. The reversal of 903463680 is 86364309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (903463681) 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 63 ways as a sum of consecutive naturals, for example, 14810850 + ... + 14810910.

It is an arithmetic number, because the mean of its divisors is an integer number (6336400).

Almost surely, 2^903463680 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 903463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824883200).

903463680 is an abundant number, since it is smaller than the sum of its proper divisors (2746302720).

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

903463680 is a wasteful number, since it uses less digits than its factorization.

903463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 903463680 is about 30057.6725645882. The cubic root of 903463680 is about 966.7263717912.

The spelling of 903463680 in words is "nine hundred three million, four hundred sixty-three thousand, six hundred eighty".