4382054208 has 448 divisors, whose sum is σ = 16190976000. Its totient is φ = 1133180928.

The previous prime is 4382054207. The next prime is 4382054213. The reversal of 4382054208 is 8024502834.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4382054207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5285538 + ... + 5286366.

Almost surely, 2^4382054208 is an apocalyptic number.

4382054208 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 4382054208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8095488000).

4382054208 is an abundant number, since it is smaller than the sum of its proper divisors (11808921792).

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

4382054208 is a wasteful number, since it uses less digits than its factorization.

4382054208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 883 counting only the distinct ones).

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

The square root of 4382054208 is about 66197.0860990119. The cubic root of 4382054208 is about 1636.4117223849.

The spelling of 4382054208 in words is "four billion, three hundred eighty-two million, fifty-four thousand, two hundred eight".