382009248 has 144 divisors (see below), whose sum is σ = 1125764640. Its totient is φ = 122798592.

The previous prime is 382009223. The next prime is 382009283. The reversal of 382009248 is 842900283.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1349715 + ... + 1349997.

It is an arithmetic number, because the mean of its divisors is an integer number (7817810).

Almost surely, 2^382009248 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 382009248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562882320).

382009248 is an abundant number, since it is smaller than the sum of its proper divisors (743755392).

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

382009248 is a wasteful number, since it uses less digits than its factorization.

382009248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 382009248 is about 19545.0568686817. The cubic root of 382009248 is about 725.5900059686.

The spelling of 382009248 in words is "three hundred eighty-two million, nine thousand, two hundred forty-eight".