4515546240 has 192 divisors, whose sum is σ = 15638313600. Its totient is φ = 1200629760.

The previous prime is 4515546209. The next prime is 4515546241. The reversal of 4515546240 is 426455154.

4515546240 is a `hidden beast` number, since 4 + 5 + 1 + 554 + 62 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 4515546195 and 4515546204.

It is not an unprimeable number, because it can be changed into a prime (4515546241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2412505 + ... + 2414375.

It is an arithmetic number, because the mean of its divisors is an integer number (81449550).

Almost surely, 2^4515546240 is an apocalyptic number.

4515546240 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 4515546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7819156800).

4515546240 is an abundant number, since it is smaller than the sum of its proper divisors (11122767360).

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

4515546240 is a wasteful number, since it uses less digits than its factorization.

4515546240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 4515546240 is about 67197.8142501674. The cubic root of 4515546240 is about 1652.8626449462.

The spelling of 4515546240 in words is "four billion, five hundred fifteen million, five hundred forty-six thousand, two hundred forty".