386754048 has 160 divisors (see below), whose sum is σ = 1160327520. Its totient is φ = 127180800.

The previous prime is 386754037. The next prime is 386754077. The reversal of 386754048 is 840457683.

386754048 is a `hidden beast` number, since 3 + 8 + 67 + 540 + 48 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 386753994 and 386754012.

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 15 ways as a sum of consecutive naturals, for example, 1396086 + ... + 1396362.

It is an arithmetic number, because the mean of its divisors is an integer number (7252047).

Almost surely, 2^386754048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386754048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580163760).

386754048 is an abundant number, since it is smaller than the sum of its proper divisors (773573472).

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

386754048 is a wasteful number, since it uses less digits than its factorization.

386754048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 386754048 is about 19666.0633579779. The cubic root of 386754048 is about 728.5817513120.

The spelling of 386754048 in words is "three hundred eighty-six million, seven hundred fifty-four thousand, forty-eight".