382952448 has 220 divisors, whose sum is σ = 1208712560. Its totient is φ = 120932352.

The previous prime is 382952447. The next prime is 382952477. The reversal of 382952448 is 844259283.

382952448 is a `hidden beast` number, since 3 + 82 + 9 + 524 + 48 = 666.

Its product of digits (552960) is a multiple of the sum of its prime divisors (24).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (382952443) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 20155383 + ... + 20155401.

It is an arithmetic number, because the mean of its divisors is an integer number (5494148).

Almost surely, 2^382952448 is an apocalyptic number.

382952448 is a gapful number since it is divisible by the number (38) 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 382952448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604356280).

382952448 is an abundant number, since it is smaller than the sum of its proper divisors (825760112).

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

382952448 is an frugal number, since it uses more digits than its factorization.

382952448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 24 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 382952448 is about 19569.1708562218. The cubic root of 382952448 is about 726.1866878686.

The spelling of 382952448 in words is "three hundred eighty-two million, nine hundred fifty-two thousand, four hundred forty-eight".