383859840 has 320 divisors, whose sum is σ = 1514871360. Its totient is φ = 80990208.

The previous prime is 383859829. The next prime is 383859859. The reversal of 383859840 is 48958383.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 383859840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29527674 + ... + 29527686.

It is an arithmetic number, because the mean of its divisors is an integer number (4733973).

Almost surely, 2^383859840 is an apocalyptic number.

383859840 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 383859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757435680).

383859840 is an abundant number, since it is smaller than the sum of its proper divisors (1131011520).

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

383859840 is an frugal number, since it uses more digits than its factorization.

383859840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 383859840 is about 19592.3413608481. The cubic root of 383859840 is about 726.7597931691.

The spelling of 383859840 in words is "three hundred eighty-three million, eight hundred fifty-nine thousand, eight hundred forty".