386833920 has 320 divisors, whose sum is σ = 1425980160. Its totient is φ = 88473600.

The previous prime is 386833847. The next prime is 386833943. The reversal of 386833920 is 29338683.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-5 number, since 5×386833920⁵ (a number of 44 digits) contains 55555 as substring. Note that it is a super-d number also for d = 3.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 964 × 836 × 480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1605000 + ... + 1605240.

It is an arithmetic number, because the mean of its divisors is an integer number (4456188).

Almost surely, 2^386833920 is an apocalyptic number.

386833920 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 386833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712990080).

386833920 is an abundant number, since it is smaller than the sum of its proper divisors (1039146240).

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

386833920 is a wasteful number, since it uses less digits than its factorization.

386833920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 386833920 is about 19668.0939595071. The cubic root of 386833920 is about 728.6319031474.

The spelling of 386833920 in words is "three hundred eighty-six million, eight hundred thirty-three thousand, nine hundred twenty".