382441248 has 144 divisors (see below), whose sum is σ = 1316165760. Its totient is φ = 102832128.

The previous prime is 382441243. The next prime is 382441249. The reversal of 382441248 is 842144283.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×382441248² = 292522616343595008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382441243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28693 + ... + 39851.

It is an arithmetic number, because the mean of its divisors is an integer number (9140040).

Almost surely, 2^382441248 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 382441248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658082880).

382441248 is an abundant number, since it is smaller than the sum of its proper divisors (933724512).

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

382441248 is a wasteful number, since it uses less digits than its factorization.

382441248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11199 (or 11188 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 382441248 is about 19556.1051336916. The cubic root of 382441248 is about 725.8634171493.

The spelling of 382441248 in words is "three hundred eighty-two million, four hundred forty-one thousand, two hundred forty-eight".