308806400 has 216 divisors, whose sum is σ = 895713504. Its totient is φ = 103219200.

The previous prime is 308806331. The next prime is 308806429. The reversal of 308806400 is 4608803.

It is a super-2 number, since 2×308806400² = 190722785361920000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2732744 + ... + 2732856.

Almost surely, 2^308806400 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 308806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447856752).

308806400 is an abundant number, since it is smaller than the sum of its proper divisors (586907104).

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

308806400 is a wasteful number, since it uses less digits than its factorization.

308806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 308806400 is about 17572.8882088290. Note that the first 3 decimals coincide. The cubic root of 308806400 is about 675.9202081282.

The spelling of 308806400 in words is "three hundred eight million, eight hundred six thousand, four hundred".