382648448 has 216 divisors, whose sum is σ = 1013423805. Its totient is φ = 143410176.

The previous prime is 382648439. The next prime is 382648459. The reversal of 382648448 is 844846283.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 327175744 + 55472704 = 18088^2 + 7448^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=13832.

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 26 ways as a sum of consecutive naturals, for example, 20139383 + ... + 20139401.

Almost surely, 2^382648448 is an apocalyptic number.

382648448 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 382648448

382648448 is an abundant number, since it is smaller than the sum of its proper divisors (630775357).

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

382648448 is a wasteful number, since it uses less digits than its factorization.

382648448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 41 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 47.

The square root of 382648448 is about 19561.4019947447. The cubic root of 382648448 is about 725.9944801974.

Multiplying 382648448 by its product of digits (1179648), we get a square (451390476386304 = 21245952²).

It can be divided in two parts, 38 and 2648448, that multiplied together give a square (100641024 = 10032²).

The spelling of 382648448 in words is "three hundred eighty-two million, six hundred forty-eight thousand, four hundred forty-eight".