903480480 has 480 divisors, whose sum is σ = 3811256064. Its totient is φ = 197074944.

The previous prime is 903480421. The next prime is 903480509. The reversal of 903480480 is 84084309.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2086344 + ... + 2086776.

Almost surely, 2^903480480 is an apocalyptic number.

903480480 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 903480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905628032).

903480480 is an abundant number, since it is smaller than the sum of its proper divisors (2907775584).

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

903480480 is a wasteful number, since it uses less digits than its factorization.

903480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 903480480 is about 30057.9520260446. The cubic root of 903480480 is about 966.7323638795.

The spelling of 903480480 in words is "nine hundred three million, four hundred eighty thousand, four hundred eighty".