383201280 has 624 divisors, whose sum is σ = 1717357824. Its totient is φ = 79626240.

The previous prime is 383201263. The next prime is 383201281. The reversal of 383201280 is 82102383.

383201280 is a `hidden beast` number, since 383 + 2 + 0 + 1 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383201281) 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 47 ways as a sum of consecutive naturals, for example, 34836475 + ... + 34836485.

It is an arithmetic number, because the mean of its divisors is an integer number (2752176).

Almost surely, 2^383201280 is an apocalyptic number.

383201280 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 383201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858678912).

383201280 is an abundant number, since it is smaller than the sum of its proper divisors (1334156544).

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

383201280 is an equidigital number, since it uses as much as digits as its factorization.

383201280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 383201280 is about 19575.5275790973. The cubic root of 383201280 is about 726.3439392134.

The spelling of 383201280 in words is "three hundred eighty-three million, two hundred one thousand, two hundred eighty".