4519872900 has 243 divisors, whose sum is σ = 14890820581. Its totient is φ = 1190777760.

The previous prime is 4519872887. The next prime is 4519872911. The reversal of 4519872900 is 92789154.

The square root of 4519872900 is 67230.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1627154244 + 2892718656 = 40338^2 + 53784^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 54456259 + ... + 54456341.

Almost surely, 2^4519872900 is an apocalyptic number.

4519872900 is the 67230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4519872900

4519872900 is an abundant number, since it is smaller than the sum of its proper divisors (10370947681).

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

4519872900 is an frugal number, since it uses more digits than its factorization.

4519872900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The cubic root of 4519872900 is about 1653.3903841128.

The spelling of 4519872900 in words is "four billion, five hundred nineteen million, eight hundred seventy-two thousand, nine hundred".