389308800 has 192 divisors, whose sum is σ = 1297684800. Its totient is φ = 102574080.

The previous prime is 389308763. The next prime is 389308811. The reversal of 389308800 is 8803983.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×389308800² = 303122683514880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1027011 + ... + 1027389.

It is an arithmetic number, because the mean of its divisors is an integer number (6758775).

Almost surely, 2^389308800 is an apocalyptic number.

389308800 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 389308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648842400).

389308800 is an abundant number, since it is smaller than the sum of its proper divisors (908376000).

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

389308800 is a wasteful number, since it uses less digits than its factorization.

389308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 389308800 is about 19730.9097610830. The cubic root of 389308800 is about 730.1824776825.

The spelling of 389308800 in words is "three hundred eighty-nine million, three hundred eight thousand, eight hundred".