4500577440 has 144 divisors (see below), whose sum is σ = 16026087168. Its totient is φ = 1147964928.

The previous prime is 4500577369. The next prime is 4500577441. The reversal of 4500577440 is 447750054.

4500577440 is a `hidden beast` number, since 45 + 0 + 0 + 577 + 4 + 40 = 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 4500577395 and 4500577404.

It is not an unprimeable number, because it can be changed into a prime (4500577441) 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, 34824 + ... + 101063.

It is an arithmetic number, because the mean of its divisors is an integer number (111292272).

Almost surely, 2^4500577440 is an apocalyptic number.

4500577440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4500577440 is an abundant number, since it is smaller than the sum of its proper divisors (11525509728).

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

4500577440 is a wasteful number, since it uses less digits than its factorization.

4500577440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135931 (or 135920 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 4500577440 is about 67086.3431705738. The cubic root of 4500577440 is about 1651.0342386444.

The spelling of 4500577440 in words is "four billion, five hundred million, five hundred seventy-seven thousand, four hundred forty".