381501072 has 60 divisors (see below), whose sum is σ = 1072200844. Its totient is φ = 126627840.

The previous prime is 381501067. The next prime is 381501073. The reversal of 381501072 is 270105183.

It can be written as a sum of positive squares in 2 ways, for example, as 171714816 + 209786256 = 13104^2 + 14484^2 .

It is not an unprimeable number, because it can be changed into a prime (381501073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29208 + ... + 40200.

Almost surely, 2^381501072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381501072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536100422).

381501072 is an abundant number, since it is smaller than the sum of its proper divisors (690699772).

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

381501072 is a wasteful number, since it uses less digits than its factorization.

381501072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11248 (or 11239 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 381501072 is about 19532.0524267165. The cubic root of 381501072 is about 725.2681193020.

The spelling of 381501072 in words is "three hundred eighty-one million, five hundred one thousand, seventy-two".