1304155040 has 96 divisors (see below), whose sum is σ = 3128343120. Its totient is φ = 513736704.

The previous prime is 1304155037. The next prime is 1304155049. The reversal of 1304155040 is 405514031.

It can be written as a sum of positive squares in 8 ways, for example, as 56370064 + 1247784976 = 7508^2 + 35324^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1304154997 and 1304155015.

It is not an unprimeable number, because it can be changed into a prime (1304155049) 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, 4848026 + ... + 4848294.

Almost surely, 2^1304155040 is an apocalyptic number.

1304155040 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 1304155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564171560).

1304155040 is an abundant number, since it is smaller than the sum of its proper divisors (1824188080).

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

1304155040 is a wasteful number, since it uses less digits than its factorization.

1304155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1304155040 is about 36113.0868245848. The cubic root of 1304155040 is about 1092.5544108336.

Adding to 1304155040 its reverse (405514031), we get a palindrome (1709669071).

The spelling of 1304155040 in words is "one billion, three hundred four million, one hundred fifty-five thousand, forty".