4505107200 has 432 divisors, whose sum is σ = 16478695296. Its totient is φ = 1074790400.

The previous prime is 4505107199. The next prime is 4505107207. The reversal of 4505107200 is 27015054.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4505107207) 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, 17529472 + ... + 17529728.

It is an arithmetic number, because the mean of its divisors is an integer number (38145128).

Almost surely, 2^4505107200 is an apocalyptic number.

4505107200 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 4505107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8239347648).

4505107200 is an abundant number, since it is smaller than the sum of its proper divisors (11973588096).

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

4505107200 is a wasteful number, since it uses less digits than its factorization.

4505107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 4505107200 is about 67120.0953515413. The cubic root of 4505107200 is about 1651.5879661946.

The spelling of 4505107200 in words is "four billion, five hundred five million, one hundred seven thousand, two hundred".