384025248 has 72 divisors (see below), whose sum is σ = 1100156148. Its totient is φ = 127060992.

The previous prime is 384025237. The next prime is 384025253. The reversal of 384025248 is 842520483.

384025248 is a `hidden beast` number, since 3 + 8 + 402 + 5 + 248 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 359936784 + 24088464 = 18972^2 + 4908^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×384025248² = 294950782202923008, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34590 + ... + 44322.

Almost surely, 2^384025248 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 384025248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550078074).

384025248 is an abundant number, since it is smaller than the sum of its proper divisors (716130900).

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

384025248 is a wasteful number, since it uses less digits than its factorization.

384025248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9886 (or 9875 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 384025248 is about 19596.5621474788. The cubic root of 384025248 is about 726.8641668743.

The spelling of 384025248 in words is "three hundred eighty-four million, twenty-five thousand, two hundred forty-eight".