296408320 has 144 divisors (see below), whose sum is σ = 782933760. Its totient is φ = 106831872.

The previous prime is 296408317. The next prime is 296408323. The reversal of 296408320 is 23804692.

It is an interprime number because it is at equal distance from previous prime (296408317) and next prime (296408323).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296408323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781891 + ... + 782269.

It is an arithmetic number, because the mean of its divisors is an integer number (5437040).

Almost surely, 2^296408320 is an apocalyptic number.

296408320 is a gapful number since it is divisible by the number (20) 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 296408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391466880).

296408320 is an abundant number, since it is smaller than the sum of its proper divisors (486525440).

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

296408320 is a wasteful number, since it uses less digits than its factorization.

296408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 296408320 is about 17216.5130035092. The cubic root of 296408320 is about 666.7506738582.

The spelling of 296408320 in words is "two hundred ninety-six million, four hundred eight thousand, three hundred twenty".