386893200 has 240 divisors, whose sum is σ = 1328486400. Its totient is φ = 95961600.

The previous prime is 386893193. The next prime is 386893207. The reversal of 386893200 is 2398683.

It is an interprime number because it is at equal distance from previous prime (386893193) and next prime (386893207).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (386893207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1618681 + ... + 1618919.

It is an arithmetic number, because the mean of its divisors is an integer number (5535360).

Almost surely, 2^386893200 is an apocalyptic number.

386893200 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 386893200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664243200).

386893200 is an abundant number, since it is smaller than the sum of its proper divisors (941593200).

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

386893200 is a wasteful number, since it uses less digits than its factorization.

386893200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 386893200 is about 19669.6009110505. The cubic root of 386893200 is about 728.6691207498.

The spelling of 386893200 in words is "three hundred eighty-six million, eight hundred ninety-three thousand, two hundred".