383857920 has 288 divisors, whose sum is σ = 1412812800. Its totient is φ = 98574336.

The previous prime is 383857897. The next prime is 383857937. The reversal of 383857920 is 29758383.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1002049 + ... + 1002431.

It is an arithmetic number, because the mean of its divisors is an integer number (4905600).

Almost surely, 2^383857920 is an apocalyptic number.

383857920 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 383857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706406400).

383857920 is an abundant number, since it is smaller than the sum of its proper divisors (1028954880).

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

383857920 is a wasteful number, since it uses less digits than its factorization.

383857920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 383857920 is about 19592.2923620489. The cubic root of 383857920 is about 726.7585814585.

The spelling of 383857920 in words is "three hundred eighty-three million, eight hundred fifty-seven thousand, nine hundred twenty".