1304690976 has 240 divisors, whose sum is σ = 4206981240. Its totient is φ = 394813440.

The previous prime is 1304690969. The next prime is 1304690987. The reversal of 1304690976 is 6790964031.

It can be written as a sum of positive squares in 4 ways, for example, as 1257411600 + 47279376 = 35460^2 + 6876^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1277346 + ... + 1278366.

Almost surely, 2^1304690976 is an apocalyptic number.

1304690976 is a gapful number since it is divisible by the number (16) 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 1304690976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103490620).

1304690976 is an abundant number, since it is smaller than the sum of its proper divisors (2902290264).

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

1304690976 is a wasteful number, since it uses less digits than its factorization.

1304690976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1072 counting only the distinct ones).

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

The square root of 1304690976 is about 36120.5063087438. The cubic root of 1304690976 is about 1092.7040502638.

The spelling of 1304690976 in words is "one billion, three hundred four million, six hundred ninety thousand, nine hundred seventy-six".