4501920384 has 320 divisors, whose sum is σ = 14597130240. Its totient is φ = 1369073664.

The previous prime is 4501920377. The next prime is 4501920391. The reversal of 4501920384 is 4830291054.

It is an interprime number because it is at equal distance from previous prime (4501920377) and next prime (4501920391).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 17117437 + ... + 17117699.

It is an arithmetic number, because the mean of its divisors is an integer number (45616032).

Almost surely, 2^4501920384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4501920384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7298565120).

4501920384 is an abundant number, since it is smaller than the sum of its proper divisors (10095209856).

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

4501920384 is a wasteful number, since it uses less digits than its factorization.

4501920384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4501920384 is about 67096.3514954427. The cubic root of 4501920384 is about 1651.1984417238.

The spelling of 4501920384 in words is "four billion, five hundred one million, nine hundred twenty thousand, three hundred eighty-four".