4517845920 has 144 divisors (see below), whose sum is σ = 17619638400. Its totient is φ = 1032648192.

The previous prime is 4517845889. The next prime is 4517845921. The reversal of 4517845920 is 295487154.

4517845920 is a `hidden beast` number, since 4 + 5 + 178 + 459 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (4517845921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214020 + ... + 234179.

It is an arithmetic number, because the mean of its divisors is an integer number (122358600).

Almost surely, 2^4517845920 is an apocalyptic number.

4517845920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4517845920 is an abundant number, since it is smaller than the sum of its proper divisors (13101792480).

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

4517845920 is a wasteful number, since it uses less digits than its factorization.

4517845920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448227 (or 448216 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 4517845920 is about 67214.9233429601. The cubic root of 4517845920 is about 1653.1431876077.

The spelling of 4517845920 in words is "four billion, five hundred seventeen million, eight hundred forty-five thousand, nine hundred twenty".