4608399840 has 384 divisors, whose sum is σ = 16930529280. Its totient is φ = 1041868800.

The previous prime is 4608399823. The next prime is 4608399841. The reversal of 4608399840 is 489938064.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4608399841) 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, 7122397 + ... + 7123043.

It is an arithmetic number, because the mean of its divisors is an integer number (44089920).

Almost surely, 2^4608399840 is an apocalyptic number.

4608399840 is a gapful number since it is divisible by the number (40) 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 4608399840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8465264640).

4608399840 is an abundant number, since it is smaller than the sum of its proper divisors (12322129440).

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

4608399840 is a wasteful number, since it uses less digits than its factorization.

4608399840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 4608399840 is about 67885.1960297678. The cubic root of 4608399840 is about 1664.1151878779.

The spelling of 4608399840 in words is "four billion, six hundred eight million, three hundred ninety-nine thousand, eight hundred forty".