382256448 has 168 divisors, whose sum is σ = 1206422784. Its totient is φ = 106444800.

The previous prime is 382256437. The next prime is 382256461. The reversal of 382256448 is 844652283.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×382256448² = 292239984075153408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385233 + ... + 386223.

It is an arithmetic number, because the mean of its divisors is an integer number (7181088).

Almost surely, 2^382256448 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 382256448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603211392).

382256448 is an abundant number, since it is smaller than the sum of its proper divisors (824166336).

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

382256448 is a wasteful number, since it uses less digits than its factorization.

382256448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1044 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 382256448 is about 19551.3796955611. The cubic root of 382256448 is about 725.7464831349.

The spelling of 382256448 in words is "three hundred eighty-two million, two hundred fifty-six thousand, four hundred forty-eight".