383956992 has 144 divisors (see below), whose sum is σ = 1140932520. Its totient is φ = 124305408.

The previous prime is 383956973. The next prime is 383956999. The reversal of 383956992 is 299659383.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383956999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 681703 + ... + 682265.

Almost surely, 2^383956992 is an apocalyptic number.

383956992 is a gapful number since it is divisible by the number (32) 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 383956992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570466260).

383956992 is an abundant number, since it is smaller than the sum of its proper divisors (756975528).

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

383956992 is a wasteful number, since it uses less digits than its factorization.

383956992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 605 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The square root of 383956992 is about 19594.8205401325. The cubic root of 383956992 is about 726.8211004522.

The spelling of 383956992 in words is "three hundred eighty-three million, nine hundred fifty-six thousand, nine hundred ninety-two".