386411904 has 128 divisors (see below), whose sum is σ = 1207720800. Its totient is φ = 121208832.

The previous prime is 386411897. The next prime is 386411917. The reversal of 386411904 is 409114683.

386411904 is a `hidden beast` number, since 3 + 8 + 641 + 1 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55464 + ... + 62040.

Almost surely, 2^386411904 is an apocalyptic number.

386411904 is a gapful number since it is divisible by the number (34) 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 386411904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603860400).

386411904 is an abundant number, since it is smaller than the sum of its proper divisors (821308896).

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

386411904 is a wasteful number, since it uses less digits than its factorization.

386411904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6617 (or 6599 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 386411904 is about 19657.3625901340. The cubic root of 386411904 is about 728.3668400343.

The spelling of 386411904 in words is "three hundred eighty-six million, four hundred eleven thousand, nine hundred four".