383946000 has 160 divisors (see below), whose sum is σ = 1253491200. Its totient is φ = 101094400.

The previous prime is 383945999. The next prime is 383946001. The reversal of 383946000 is 649383.

It is an interprime number because it is at equal distance from previous prime (383945999) and next prime (383946001).

It is not an unprimeable number, because it can be changed into a prime (383946001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533641 + ... + 534359.

It is an arithmetic number, because the mean of its divisors is an integer number (7834320).

Almost surely, 2^383946000 is an apocalyptic number.

383946000 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 383946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626745600).

383946000 is an abundant number, since it is smaller than the sum of its proper divisors (869545200).

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

383946000 is a wasteful number, since it uses less digits than its factorization.

383946000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 383946000 is about 19594.5400558421. The cubic root of 383946000 is about 726.8141645245.

The spelling of 383946000 in words is "three hundred eighty-three million, nine hundred forty-six thousand".