4460225000 has 288 divisors, whose sum is σ = 13305085920. Its totient is φ = 1386000000.

The previous prime is 4460224999. The next prime is 4460225039. The reversal of 4460225000 is 5220644.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13474835 + ... + 13475165.

It is an arithmetic number, because the mean of its divisors is an integer number (46198215).

Almost surely, 2^4460225000 is an apocalyptic number.

4460225000 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 4460225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652542960).

4460225000 is an abundant number, since it is smaller than the sum of its proper divisors (8844860920).

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

4460225000 is a wasteful number, since it uses less digits than its factorization.

4460225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 4460225000 is about 66784.9159616152. The cubic root of 4460225000 is about 1646.0849941864.

Adding to 4460225000 its reverse (5220644), we get a palindrome (4465445644).

The spelling of 4460225000 in words is "four billion, four hundred sixty million, two hundred twenty-five thousand".