1303304400 has 180 divisors, whose sum is σ = 4587429600. Its totient is φ = 342585600.

The previous prime is 1303304381. The next prime is 1303304419. The reversal of 1303304400 is 44033031.

1303304400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1303304381) and next prime (1303304419).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 253051 + ... + 258149.

It is an arithmetic number, because the mean of its divisors is an integer number (25485720).

Almost surely, 2^1303304400 is an apocalyptic number.

1303304400 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 1303304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293714800).

1303304400 is an abundant number, since it is smaller than the sum of its proper divisors (3284125200).

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

1303304400 is a wasteful number, since it uses less digits than its factorization.

1303304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5194 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1303304400 is about 36101.3074555479. The cubic root of 1303304400 is about 1092.3168182697.

Adding to 1303304400 its reverse (44033031), we get a palindrome (1347337431).

The spelling of 1303304400 in words is "one billion, three hundred three million, three hundred four thousand, four hundred".