4622448000 has 512 divisors, whose sum is σ = 16497561600. Its totient is φ = 1142169600.

The previous prime is 4622447993. The next prime is 4622448001. The reversal of 4622448000 is 8442264.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4622448001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 58511961 + ... + 58512039.

It is an arithmetic number, because the mean of its divisors is an integer number (32221800).

Almost surely, 2^4622448000 is an apocalyptic number.

4622448000 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 4622448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8248780800).

4622448000 is an abundant number, since it is smaller than the sum of its proper divisors (11875113600).

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

4622448000 is a wasteful number, since it uses less digits than its factorization.

4622448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 4622448000 is about 67988.5872775718. The cubic root of 4622448000 is about 1665.8044251117.

The spelling of 4622448000 in words is "four billion, six hundred twenty-two million, four hundred forty-eight thousand".