4485264000 has 384 divisors, whose sum is σ = 17305254720. Its totient is φ = 1024665600.

The previous prime is 4485263989. The next prime is 4485264001. The reversal of 4485264000 is 4625844.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (4485264001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2351047 + ... + 2352953.

Almost surely, 2^4485264000 is an apocalyptic number.

4485264000 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 4485264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8652627360).

4485264000 is an abundant number, since it is smaller than the sum of its proper divisors (12819990720).

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

4485264000 is a wasteful number, since it uses less digits than its factorization.

4485264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 4485264000 is about 66972.1135996170. The cubic root of 4485264000 is about 1649.1595352320.

Adding to 4485264000 its reverse (4625844), we get a palindrome (4489889844).

The spelling of 4485264000 in words is "four billion, four hundred eighty-five million, two hundred sixty-four thousand".