4866457600 has 135 divisors (see below), whose sum is σ = 12180182007. Its totient is φ = 1928724480.

The previous prime is 4866457579. The next prime is 4866457613. The reversal of 4866457600 is 67546684.

The square root of 4866457600 is 69760.

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 17842176 + 4848615424 = 4224^2 + 69632^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44646346 + ... + 44646454.

Almost surely, 2^4866457600 is an apocalyptic number.

4866457600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4866457600 is the 69760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4866457600

4866457600 is an abundant number, since it is smaller than the sum of its proper divisors (7313724407).

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

4866457600 is an frugal number, since it uses more digits than its factorization.

4866457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The cubic root of 4866457600 is about 1694.6147464014.

The spelling of 4866457600 in words is "four billion, eight hundred sixty-six million, four hundred fifty-seven thousand, six hundred".