4505107600 has 120 divisors (see below), whose sum is σ = 12395331648. Its totient is φ = 1541414400.

The previous prime is 4505107571. The next prime is 4505107639. The reversal of 4505107600 is 67015054.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1642230 + ... + 1644970.

Almost surely, 2^4505107600 is an apocalyptic number.

4505107600 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 4505107600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6197665824).

4505107600 is an abundant number, since it is smaller than the sum of its proper divisors (7890224048).

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

4505107600 is a wasteful number, since it uses less digits than its factorization.

4505107600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 4505107600 is about 67120.0983312748. The cubic root of 4505107600 is about 1651.5880150751.

The spelling of 4505107600 in words is "four billion, five hundred five million, one hundred seven thousand, six hundred".