4450626000 has 400 divisors, whose sum is σ = 16318830528. Its totient is φ = 1168992000.

The previous prime is 4450625999. The next prime is 4450626007. The reversal of 4450626000 is 6260544.

It is a happy number.

4450626000 is a `hidden beast` number, since 4 + 4 + 50 + 6 + 2 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4450626007) 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 79 ways as a sum of consecutive naturals, for example, 13445835 + ... + 13446165.

Almost surely, 2^4450626000 is an apocalyptic number.

4450626000 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 4450626000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8159415264).

4450626000 is an abundant number, since it is smaller than the sum of its proper divisors (11868204528).

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

4450626000 is a wasteful number, since it uses less digits than its factorization.

4450626000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4450626000 is about 66713.0122240032. The cubic root of 4450626000 is about 1644.9032811148.

Adding to 4450626000 its reverse (6260544), we get a palindrome (4456886544).

The spelling of 4450626000 in words is "four billion, four hundred fifty million, six hundred twenty-six thousand".