296434080 has 240 divisors, whose sum is σ = 1062036360. Its totient is φ = 77856768.

The previous prime is 296434031. The next prime is 296434087. The reversal of 296434080 is 80434692.

It is a happy number.

296434080 is a `hidden beast` number, since 2 + 9 + 643 + 4 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 270668304 + 25765776 = 16452^2 + 5076^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (296434087) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1153312 + ... + 1153568.

Almost surely, 2^296434080 is an apocalyptic number.

296434080 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 296434080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531018180).

296434080 is an abundant number, since it is smaller than the sum of its proper divisors (765602280).

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

296434080 is a wasteful number, since it uses less digits than its factorization.

296434080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 296434080 is about 17217.2611062271. The cubic root of 296434080 is about 666.7699884305.

The spelling of 296434080 in words is "two hundred ninety-six million, four hundred thirty-four thousand, eighty".