386418900 has 216 divisors, whose sum is σ = 1318832256. Its totient is φ = 87091200.

The previous prime is 386418899. The next prime is 386418911. The reversal of 386418900 is 9814683.

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 71 ways as a sum of consecutive naturals, for example, 1425765 + ... + 1426035.

Almost surely, 2^386418900 is an apocalyptic number.

386418900 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 386418900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659416128).

386418900 is an abundant number, since it is smaller than the sum of its proper divisors (932413356).

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

386418900 is a wasteful number, since it uses less digits than its factorization.

386418900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 385 counting only the distinct ones).

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

The square root of 386418900 is about 19657.5405379208. The cubic root of 386418900 is about 728.3712357095.

The spelling of 386418900 in words is "three hundred eighty-six million, four hundred eighteen thousand, nine hundred".