383970000 has 100 divisors (see below), whose sum is σ = 1239603200. Its totient is φ = 102384000.

The previous prime is 383969969. The next prime is 383970017. The reversal of 383970000 is 79383.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a self number, because there is not a number n which added to its sum of digits gives 383970000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23601 + ... + 36399.

It is an arithmetic number, because the mean of its divisors is an integer number (12396032).

Almost surely, 2^383970000 is an apocalyptic number.

383970000 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 383970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619801600).

383970000 is an abundant number, since it is smaller than the sum of its proper divisors (855633200).

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

383970000 is a wasteful number, since it uses less digits than its factorization.

383970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12830 (or 12809 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 383970000 is about 19595.1524617697. The cubic root of 383970000 is about 726.8293083004.

The spelling of 383970000 in words is "three hundred eighty-three million, nine hundred seventy thousand".