4501145600 has 288 divisors, whose sum is σ = 13446014400. Its totient is φ = 1459814400.

The previous prime is 4501145587. The next prime is 4501145603. The reversal of 4501145600 is 65411054.

It is a self number, because there is not a number n which added to its sum of digits gives 4501145600.

It is not an unprimeable number, because it can be changed into a prime (4501145603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6809270 + ... + 6809930.

It is an arithmetic number, because the mean of its divisors is an integer number (46687550).

Almost surely, 2^4501145600 is an apocalyptic number.

4501145600 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 4501145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6723007200).

4501145600 is an abundant number, since it is smaller than the sum of its proper divisors (8944868800).

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

4501145600 is a wasteful number, since it uses less digits than its factorization.

4501145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 4501145600 is about 67090.5775798659. The cubic root of 4501145600 is about 1651.1037121105.

Adding to 4501145600 its reverse (65411054), we get a palindrome (4566556654).

The spelling of 4501145600 in words is "four billion, five hundred one million, one hundred forty-five thousand, six hundred".