1304413392 has 80 divisors (see below), whose sum is σ = 3502900800. Its totient is φ = 417908736.

The previous prime is 1304413387. The next prime is 1304413393. The reversal of 1304413392 is 2933144031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304413393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142984 + ... + 151832.

It is an arithmetic number, because the mean of its divisors is an integer number (43786260).

Almost surely, 2^1304413392 is an apocalyptic number.

1304413392 is a gapful number since it is divisible by the number (12) 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 1304413392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751450400).

1304413392 is an abundant number, since it is smaller than the sum of its proper divisors (2198487408).

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

1304413392 is a wasteful number, since it uses less digits than its factorization.

1304413392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8980 (or 8974 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 1304413392 is about 36116.6636332871. The cubic root of 1304413392 is about 1092.6265507689.

The spelling of 1304413392 in words is "one billion, three hundred four million, four hundred thirteen thousand, three hundred ninety-two".