1304004960 has 192 divisors, whose sum is σ = 4804531200. Its totient is φ = 329412096.

The previous prime is 1304004953. The next prime is 1304004967. The reversal of 1304004960 is 694004031.

1304004960 is a `hidden beast` number, since 130 + 40 + 0 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1304004953) and next prime (1304004967).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304004967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74137 + ... + 90023.

It is an arithmetic number, because the mean of its divisors is an integer number (25023600).

Almost surely, 2^1304004960 is an apocalyptic number.

1304004960 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 1304004960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402265600).

1304004960 is an abundant number, since it is smaller than the sum of its proper divisors (3500526240).

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

1304004960 is a wasteful number, since it uses less digits than its factorization.

1304004960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15930 (or 15916 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1304004960 is about 36111.0088477184. The cubic root of 1304004960 is about 1092.5124994424.

Adding to 1304004960 its reverse (694004031), we get a palindrome (1998008991).

The spelling of 1304004960 in words is "one billion, three hundred four million, four thousand, nine hundred sixty".