4519603984 has 55 divisors (see below), whose sum is σ = 10216188167. Its totient is φ = 1936973136.

The previous prime is 4519603973. The next prime is 4519603993. The reversal of 4519603984 is 4893069154.

It is a happy number.

The square root of 4519603984 is 67228.

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

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 10 ways as a sum of consecutive naturals, for example, 645657709 + ... + 645657715.

Almost surely, 2^4519603984 is an apocalyptic number.

4519603984 is the 67228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4519603984

4519603984 is an abundant number, since it is smaller than the sum of its proper divisors (5696584183).

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

4519603984 is an frugal number, since it uses more digits than its factorization.

4519603984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The cubic root of 4519603984 is about 1653.3575932242.

Multiplying 4519603984 by its sum of digits (49), we get a 4-th power (221460595216 = 686⁴).

4519603984 divided by its sum of digits (49) gives a 4-th power (92236816 = 98⁴).

The spelling of 4519603984 in words is "four billion, five hundred nineteen million, six hundred three thousand, nine hundred eighty-four".