296028480 has 336 divisors, whose sum is σ = 1100425536. Its totient is φ = 66846720.

The previous prime is 296028461. The next prime is 296028511. The reversal of 296028480 is 84820692.

It is a super-2 number, since 2×296028480² = 175265721942220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3051792 + ... + 3051888.

It is an arithmetic number, because the mean of its divisors is an integer number (3275076).

Almost surely, 2^296028480 is an apocalyptic number.

296028480 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 296028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550212768).

296028480 is an abundant number, since it is smaller than the sum of its proper divisors (804397056).

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

296028480 is a wasteful number, since it uses less digits than its factorization.

296028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 296028480 is about 17205.4781973649. The cubic root of 296028480 is about 666.4657438956.

The spelling of 296028480 in words is "two hundred ninety-six million, twenty-eight thousand, four hundred eighty".