1331603904 has 224 divisors, whose sum is σ = 3942892800. Its totient is φ = 394813440.

The previous prime is 1331603881. The next prime is 1331603921. The reversal of 1331603904 is 4093061331.

1331603904 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4337319 + ... + 4337625.

It is an arithmetic number, because the mean of its divisors is an integer number (17602200).

Almost surely, 2^1331603904 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 1331603904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971446400).

1331603904 is an abundant number, since it is smaller than the sum of its proper divisors (2611288896).

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

1331603904 is a wasteful number, since it uses less digits than its factorization.

1331603904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 1331603904 is about 36491.1482965390. The cubic root of 1331603904 is about 1100.1663395835.

The spelling of 1331603904 in words is "one billion, three hundred thirty-one million, six hundred three thousand, nine hundred four".