1304137424 has 20 divisors (see below), whose sum is σ = 2613897060. Its totient is φ = 629583360.

The previous prime is 1304137423. The next prime is 1304137427. The reversal of 1304137424 is 4247314031.

It can be written as a sum of positive squares in 2 ways, for example, as 1006919824 + 297217600 = 31732^2 + 17240^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304137423) 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 3 ways as a sum of consecutive naturals, for example, 1404857 + ... + 1405784.

It is an arithmetic number, because the mean of its divisors is an integer number (130694853).

Almost surely, 2^1304137424 is an apocalyptic number.

It is an amenable number.

1304137424 is an abundant number, since it is smaller than the sum of its proper divisors (1309759636).

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

1304137424 is a wasteful number, since it uses less digits than its factorization.

1304137424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810678 (or 2810672 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 1304137424 is about 36112.8429232593. The cubic root of 1304137424 is about 1092.5494915501.

The spelling of 1304137424 in words is "one billion, three hundred four million, one hundred thirty-seven thousand, four hundred twenty-four".