1304451200 has 96 divisors (see below), whose sum is σ = 3470389860. Its totient is φ = 481628160.

The previous prime is 1304451193. The next prime is 1304451217. The reversal of 1304451200 is 21544031.

It can be written as a sum of positive squares in 6 ways, for example, as 389509696 + 914941504 = 19736^2 + 30248^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25922 + ... + 57278.

Almost surely, 2^1304451200 is an apocalyptic number.

1304451200 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 1304451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735194930).

1304451200 is an abundant number, since it is smaller than the sum of its proper divisors (2165938660).

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

1304451200 is a wasteful number, since it uses less digits than its factorization.

1304451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31394 (or 31377 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1304451200 is about 36117.1870443976. The cubic root of 1304451200 is about 1092.6371071426.

Adding to 1304451200 its reverse (21544031), we get a palindrome (1325995231).

The spelling of 1304451200 in words is "one billion, three hundred four million, four hundred fifty-one thousand, two hundred".