386256000 has 256 divisors, whose sum is σ = 1381161600. Its totient is φ = 94924800.

The previous prime is 386255893. The next prime is 386256007. The reversal of 386256000 is 652683.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (386256007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 623691 + ... + 624309.

Almost surely, 2^386256000 is an apocalyptic number.

386256000 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 386256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690580800).

386256000 is an abundant number, since it is smaller than the sum of its proper divisors (994905600).

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

386256000 is a wasteful number, since it uses less digits than its factorization.

386256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 386256000 is about 19653.3966529961. The cubic root of 386256000 is about 728.2688698131.

The spelling of 386256000 in words is "three hundred eighty-six million, two hundred fifty-six thousand".