1003320400 has 60 divisors (see below), whose sum is σ = 2416150044. Its totient is φ = 400384000.

The previous prime is 1003320397. The next prime is 1003320401. The reversal of 1003320400 is 40233001.

It can be written as a sum of positive squares in 6 ways, for example, as 13337104 + 989983296 = 3652^2 + 31464^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003320401) 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, 181680 + ... + 187120.

Almost surely, 2^1003320400 is an apocalyptic number.

1003320400 is a gapful number since it is divisible by the number (10) 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 1003320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208075022).

1003320400 is an abundant number, since it is smaller than the sum of its proper divisors (1412829644).

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

1003320400 is a wasteful number, since it uses less digits than its factorization.

1003320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5920 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 1003320400 is about 31675.2332272392. The cubic root of 1003320400 is about 1001.1055772485.

Adding to 1003320400 its reverse (40233001), we get a palindrome (1043553401).

The spelling of 1003320400 in words is "one billion, three million, three hundred twenty thousand, four hundred".