381304832 has 90 divisors (see below), whose sum is σ = 829857042. Its totient is φ = 174587904.

The previous prime is 381304823. The next prime is 381304837. The reversal of 381304832 is 238403183.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 268435456 + 112869376 = 16384^2 + 10624^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (381304837) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10305518 + ... + 10305554.

Almost surely, 2^381304832 is an apocalyptic number.

381304832 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 381304832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414928521).

381304832 is an abundant number, since it is smaller than the sum of its proper divisors (448552210).

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

381304832 is an frugal number, since it uses more digits than its factorization.

381304832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 381304832 is about 19527.0282429252. The cubic root of 381304832 is about 725.1437412973.

The spelling of 381304832 in words is "three hundred eighty-one million, three hundred four thousand, eight hundred thirty-two".