296776480 has 384 divisors, whose sum is σ = 1005903360. Its totient is φ = 79626240.

The previous prime is 296776427. The next prime is 296776507. The reversal of 296776480 is 84677692.

296776480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2722666 + ... + 2722774.

It is an arithmetic number, because the mean of its divisors is an integer number (2619540).

Almost surely, 2^296776480 is an apocalyptic number.

296776480 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 296776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502951680).

296776480 is an abundant number, since it is smaller than the sum of its proper divisors (709126880).

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

296776480 is a wasteful number, since it uses less digits than its factorization.

296776480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

The square root of 296776480 is about 17227.2017460759. The cubic root of 296776480 is about 667.0266100706.

The spelling of 296776480 in words is "two hundred ninety-six million, seven hundred seventy-six thousand, four hundred eighty".