296225280 has 480 divisors, whose sum is σ = 1179674496. Its totient is φ = 68124672.

The previous prime is 296225233. The next prime is 296225297. The reversal of 296225280 is 82522692.

296225280 is a `hidden beast` number, since 2 + 9 + 622 + 5 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×296225280² = 175498833022156800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6888939 + ... + 6888981.

Almost surely, 2^296225280 is an apocalyptic number.

296225280 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 296225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589837248).

296225280 is an abundant number, since it is smaller than the sum of its proper divisors (883449216).

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

296225280 is a wasteful number, since it uses less digits than its factorization.

296225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 296225280 is about 17211.1963558609. The cubic root of 296225280 is about 666.6134001886.

The spelling of 296225280 in words is "two hundred ninety-six million, two hundred twenty-five thousand, two hundred eighty".