296974080 has 288 divisors, whose sum is σ = 1136627520. Its totient is φ = 72990720.

The previous prime is 296974033. The next prime is 296974103. The reversal of 296974080 is 80479692.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 448950 + ... + 449610.

Almost surely, 2^296974080 is an apocalyptic number.

296974080 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 296974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568313760).

296974080 is an abundant number, since it is smaller than the sum of its proper divisors (839653440).

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

296974080 is a wasteful number, since it uses less digits than its factorization.

296974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 296974080 is about 17232.9359077320. The cubic root of 296974080 is about 667.1746173253.

The spelling of 296974080 in words is "two hundred ninety-six million, nine hundred seventy-four thousand, eighty".