1304097792 has 88 divisors (see below), whose sum is σ = 3627218496. Its totient is φ = 415776768.

The previous prime is 1304097763. The next prime is 1304097797. The reversal of 1304097792 is 2977904031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304097797) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61428 + ... + 79884.

It is an arithmetic number, because the mean of its divisors is an integer number (41218392).

Almost surely, 2^1304097792 is an apocalyptic number.

1304097792 is a gapful number since it is divisible by the number (12) 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 1304097792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813609248).

1304097792 is an abundant number, since it is smaller than the sum of its proper divisors (2323120704).

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

1304097792 is a wasteful number, since it uses less digits than its factorization.

1304097792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18503 (or 18485 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 1304097792 is about 36112.2941946368. The cubic root of 1304097792 is about 1092.5384241173.

The spelling of 1304097792 in words is "one billion, three hundred four million, ninety-seven thousand, seven hundred ninety-two".