4406459328 has 168 divisors, whose sum is σ = 13380232320. Its totient is φ = 1382607360.

The previous prime is 4406459327. The next prime is 4406459329. The reversal of 4406459328 is 8239546044.

It is an interprime number because it is at equal distance from previous prime (4406459327) and next prime (4406459329).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4406459327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1826443 + ... + 1828853.

It is an arithmetic number, because the mean of its divisors is an integer number (79644240).

Almost surely, 2^4406459328 is an apocalyptic number.

4406459328 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 4406459328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6690116160).

4406459328 is an abundant number, since it is smaller than the sum of its proper divisors (8973772992).

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

4406459328 is a wasteful number, since it uses less digits than its factorization.

4406459328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4406459328 is about 66381.1669677477. The cubic root of 4406459328 is about 1639.4440074439. Note that the first 3 decimals are identical.

The spelling of 4406459328 in words is "four billion, four hundred six million, four hundred fifty-nine thousand, three hundred twenty-eight".