1304413424 has 40 divisors (see below), whose sum is σ = 2566523232. Its totient is φ = 642159360.

The previous prime is 1304413423. The next prime is 1304413433. The reversal of 1304413424 is 4243144031.

It is a super-3 number, since 3×1304413424³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1304413393 and 1304413402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304413423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296102 + ... + 300474.

Almost surely, 2^1304413424 is an apocalyptic number.

It is an amenable number.

1304413424 is a deficient number, since it is larger than the sum of its proper divisors (1262109808).

1304413424 is a wasteful number, since it uses less digits than its factorization.

1304413424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4665 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 1304413424 is about 36116.6640762959. The cubic root of 1304413424 is about 1092.6265597037.

Adding to 1304413424 its reverse (4243144031), we get a palindrome (5547557455).

The spelling of 1304413424 in words is "one billion, three hundred four million, four hundred thirteen thousand, four hundred twenty-four".