1304816640 has 352 divisors, whose sum is σ = 4669125120. Its totient is φ = 309067776.

The previous prime is 1304816599. The next prime is 1304816641. The reversal of 1304816640 is 466184031.

It is not an unprimeable number, because it can be changed into a prime (1304816641) by changing a digit.

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, 4961149 + ... + 4961411.

It is an arithmetic number, because the mean of its divisors is an integer number (13264560).

Almost surely, 2^1304816640 is an apocalyptic number.

1304816640 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 1304816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334562560).

1304816640 is an abundant number, since it is smaller than the sum of its proper divisors (3364308480).

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

1304816640 is a wasteful number, since it uses less digits than its factorization.

1304816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1304816640 is about 36122.2457773600. The cubic root of 1304816640 is about 1092.7391311516.

The spelling of 1304816640 in words is "one billion, three hundred four million, eight hundred sixteen thousand, six hundred forty".