4510465600 has 189 divisors, whose sum is σ = 11763200883. Its totient is φ = 1702103040.

The previous prime is 4510465549. The next prime is 4510465601. The reversal of 4510465600 is 65640154.

The square root of 4510465600 is 67160.

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

It can be written as a sum of positive squares in 4 ways, for example, as 24681024 + 4485784576 = 4968^2 + 66976^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4510465601) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 61787164 + ... + 61787236.

Almost surely, 2^4510465600 is an apocalyptic number.

4510465600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4510465600 is the 67160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4510465600

4510465600 is an abundant number, since it is smaller than the sum of its proper divisors (7252735283).

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

4510465600 is an equidigital number, since it uses as much as digits as its factorization.

4510465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The cubic root of 4510465600 is about 1652.2425094487.

Multiplying 4510465600 by its product of nonzero digits (14400), we get a square (64950704640000 = 8059200²).

The spelling of 4510465600 in words is "four billion, five hundred ten million, four hundred sixty-five thousand, six hundred".