1304702400 has 336 divisors, whose sum is σ = 4626132480. Its totient is φ = 320716800.

The previous prime is 1304702381. The next prime is 1304702401. The reversal of 1304702400 is 42074031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304702401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4814265 + ... + 4814535.

Almost surely, 2^1304702400 is an apocalyptic number.

1304702400 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 1304702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313066240).

1304702400 is an abundant number, since it is smaller than the sum of its proper divisors (3321430080).

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

1304702400 is a wasteful number, since it uses less digits than its factorization.

1304702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 1304702400 is about 36120.6644457158. The cubic root of 1304702400 is about 1092.7072395285.

Adding to 1304702400 its reverse (42074031), we get a palindrome (1346776431).

It can be divided in two parts, 130470 and 2400, that added together give a triangular number (132870 = T₅₁₅).

The spelling of 1304702400 in words is "one billion, three hundred four million, seven hundred two thousand, four hundred".