383968512 has 90 divisors (see below), whose sum is σ = 1144986458. Its totient is φ = 127982592.

The previous prime is 383968493. The next prime is 383968531. The reversal of 383968512 is 215869383.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (383968493) and next prime (383968531).

It can be written as a sum of positive squares in only one way, i.e., 293642496 + 90326016 = 17136^2 + 9504^2 .

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11478 + ... + 29994.

Almost surely, 2^383968512 is an apocalyptic number.

383968512 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 383968512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572493229).

383968512 is an abundant number, since it is smaller than the sum of its proper divisors (761017946).

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

383968512 is an equidigital number, since it uses as much as digits as its factorization.

383968512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18545 (or 18522 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 383968512 is about 19595.1144931587. The cubic root of 383968512 is about 726.8283694046.

The spelling of 383968512 in words is "three hundred eighty-three million, nine hundred sixty-eight thousand, five hundred twelve".