383281920 has 432 divisors, whose sum is σ = 1562433600. Its totient is φ = 86704128.

The previous prime is 383281907. The next prime is 383281931. The reversal of 383281920 is 29182383.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3951312 + ... + 3951408.

Almost surely, 2^383281920 is an apocalyptic number.

383281920 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 383281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781216800).

383281920 is an abundant number, since it is smaller than the sum of its proper divisors (1179151680).

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

383281920 is an equidigital number, since it uses as much as digits as its factorization.

383281920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 383281920 is about 19577.5871853505. The cubic root of 383281920 is about 726.3948856918.

The spelling of 383281920 in words is "three hundred eighty-three million, two hundred eighty-one thousand, nine hundred twenty".