1003319424 has 96 divisors (see below), whose sum is σ = 2902468140. Its totient is φ = 332666880.

The previous prime is 1003319423. The next prime is 1003319459. The reversal of 1003319424 is 4249133001.

It can be written as a sum of positive squares in 2 ways, for example, as 771061824 + 232257600 = 27768^2 + 15240^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1003319423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224734 + ... + 229154.

Almost surely, 2^1003319424 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 1003319424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451234070).

1003319424 is an abundant number, since it is smaller than the sum of its proper divisors (1899148716).

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

1003319424 is a wasteful number, since it uses less digits than its factorization.

1003319424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4638 (or 4623 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1003319424 is about 31675.2178208769. The cubic root of 1003319424 is about 1001.1052526332.

The spelling of 1003319424 in words is "one billion, three million, three hundred nineteen thousand, four hundred twenty-four".