380406600 has 432 divisors, whose sum is σ = 1571216400. Its totient is φ = 82010880.

The previous prime is 380406563. The next prime is 380406641. The reversal of 380406600 is 6604083.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1675687 + ... + 1675913.

It is an arithmetic number, because the mean of its divisors is an integer number (3637075).

Almost surely, 2^380406600 is an apocalyptic number.

380406600 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 380406600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785608200).

380406600 is an abundant number, since it is smaller than the sum of its proper divisors (1190809800).

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

380406600 is a wasteful number, since it uses less digits than its factorization.

380406600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 380406600 is about 19504.0149712822. The cubic root of 380406600 is about 724.5738915044.

The spelling of 380406600 in words is "three hundred eighty million, four hundred six thousand, six hundred".