1304976960 has 224 divisors, whose sum is σ = 5261579520. Its totient is φ = 298266624.

The previous prime is 1304976941. The next prime is 1304976977. The reversal of 1304976960 is 696794031.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1304976960² = 3405929732261683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49692 + ... + 71268.

Almost surely, 2^1304976960 is an apocalyptic number.

1304976960 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 1304976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630789760).

1304976960 is an abundant number, since it is smaller than the sum of its proper divisors (3956602560).

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

1304976960 is a wasteful number, since it uses less digits than its factorization.

1304976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21610 (or 21594 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 1304976960 is about 36124.4648403267. The cubic root of 1304976960 is about 1092.7838834838.

It can be divided in two parts, 13049 and 76960, that added together give a palindrome (90009).

The spelling of 1304976960 in words is "one billion, three hundred four million, nine hundred seventy-six thousand, nine hundred sixty".