308896000 has 216 divisors, whose sum is σ = 899674776. Its totient is φ = 105369600.

The previous prime is 308895989. The next prime is 308896033. The reversal of 308896000 is 698803.

It can be written as a sum of positive squares in 4 ways, for example, as 3625216 + 305270784 = 1904^2 + 17472^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1567902 + ... + 1568098.

It is an arithmetic number, because the mean of its divisors is an integer number (4165161).

Almost surely, 2^308896000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 308896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449837388).

308896000 is an abundant number, since it is smaller than the sum of its proper divisors (590778776).

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

308896000 is an equidigital number, since it uses as much as digits as its factorization.

308896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 308896000 is about 17575.4374056522. The cubic root of 308896000 is about 675.9855744269.

The spelling of 308896000 in words is "three hundred eight million, eight hundred ninety-six thousand".