381430272 has 80 divisors (see below), whose sum is σ = 1051316640. Its totient is φ = 122744832.

The previous prime is 381430261. The next prime is 381430277. The reversal of 381430272 is 272034183.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (381430277) 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 7 ways as a sum of consecutive naturals, for example, 40263 + ... + 48825.

It is an arithmetic number, because the mean of its divisors is an integer number (13141458).

Almost surely, 2^381430272 is an apocalyptic number.

381430272 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 381430272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525658320).

381430272 is an abundant number, since it is smaller than the sum of its proper divisors (669886368).

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

381430272 is an equidigital number, since it uses as much as digits as its factorization.

381430272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8613 (or 8597 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 381430272 is about 19530.2399370822. The cubic root of 381430272 is about 725.2232507871.

The spelling of 381430272 in words is "three hundred eighty-one million, four hundred thirty thousand, two hundred seventy-two".