308390400 has 180 divisors, whose sum is σ = 1104056382. Its totient is φ = 82206720.

The previous prime is 308390393. The next prime is 308390419. The reversal of 308390400 is 4093803.

308390400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 131606784 + 176783616 = 11472^2 + 13296^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 113862 + ... + 116538.

Almost surely, 2^308390400 is an apocalyptic number.

308390400 is a gapful number since it is divisible by the number (30) 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 308390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552028191).

308390400 is an abundant number, since it is smaller than the sum of its proper divisors (795665982).

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

308390400 is a wasteful number, since it uses less digits than its factorization.

308390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 308390400 is about 17561.0478047296. The cubic root of 308390400 is about 675.6165559978.

The spelling of 308390400 in words is "three hundred eight million, three hundred ninety thousand, four hundred".