4382097408 has 320 divisors, whose sum is σ = 14210085120. Its totient is φ = 1337720832.

The previous prime is 4382097407. The next prime is 4382097451. The reversal of 4382097408 is 8047902834.

4382097408 is a `hidden beast` number, since 4 + 38 + 209 + 7 + 408 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4382097407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34504641 + ... + 34504767.

It is an arithmetic number, because the mean of its divisors is an integer number (44406516).

Almost surely, 2^4382097408 is an apocalyptic number.

4382097408 is a gapful number since it is divisible by the number (48) 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 4382097408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7105042560).

4382097408 is an abundant number, since it is smaller than the sum of its proper divisors (9827987712).

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

4382097408 is an equidigital number, since it uses as much as digits as its factorization.

4382097408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4382097408 is about 66197.4123965582. The cubic root of 4382097408 is about 1636.4170998290.

The spelling of 4382097408 in words is "four billion, three hundred eighty-two million, ninety-seven thousand, four hundred eight".