386412864 has 112 divisors (see below), whose sum is σ = 1056900096. Its totient is φ = 124518400.

The previous prime is 386412863. The next prime is 386412869. The reversal of 386412864 is 468214683.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386412863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1503424 + ... + 1503680.

It is an arithmetic number, because the mean of its divisors is an integer number (9436608).

Almost surely, 2^386412864 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 386412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528450048).

386412864 is an abundant number, since it is smaller than the sum of its proper divisors (670487232).

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

386412864 is a wasteful number, since it uses less digits than its factorization.

386412864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 494 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 386412864 is about 19657.3870084505. The cubic root of 386412864 is about 728.3674432176.

The spelling of 386412864 in words is "three hundred eighty-six million, four hundred twelve thousand, eight hundred sixty-four".