381983472 has 160 divisors (see below), whose sum is σ = 1250544960. Its totient is φ = 110592000.

The previous prime is 381983453. The next prime is 381983501. The reversal of 381983472 is 274389183.

It is a super-2 number, since 2×381983472² = 291822745762349568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93472 + ... + 97472.

It is an arithmetic number, because the mean of its divisors is an integer number (7815906).

Almost surely, 2^381983472 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 381983472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625272480).

381983472 is an abundant number, since it is smaller than the sum of its proper divisors (868561488).

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

381983472 is a wasteful number, since it uses less digits than its factorization.

381983472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4036 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 381983472 is about 19544.3974580952. The cubic root of 381983472 is about 725.5736859199.

The spelling of 381983472 in words is "three hundred eighty-one million, nine hundred eighty-three thousand, four hundred seventy-two".