4489632000 has 864 divisors, whose sum is σ = 19698142464. Its totient is φ = 958464000.

The previous prime is 4489631987. The next prime is 4489632001. The reversal of 4489632000 is 2369844.

It is a happy number.

4489632000 is a `hidden beast` number, since 448 + 9 + 6 + 3 + 200 + 0 = 666.

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 (4489632001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34271935 + ... + 34272065.

It is an arithmetic number, because the mean of its divisors is an integer number (22798776).

Almost surely, 2^4489632000 is an apocalyptic number.

4489632000 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 4489632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9849071232).

4489632000 is an abundant number, since it is smaller than the sum of its proper divisors (15208510464).

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

4489632000 is a wasteful number, since it uses less digits than its factorization.

4489632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4489632000 is about 67004.7162519177. The cubic root of 4489632000 is about 1649.6947093574.

The spelling of 4489632000 in words is "four billion, four hundred eighty-nine million, six hundred thirty-two thousand".