46648900 has 27 divisors (see below), whose sum is σ = 101376541. Its totient is φ = 18632240.

The previous prime is 46648859. The next prime is 46648909. The reversal of 46648900 is 984664.

The square root of 46648900 is 6830.

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

46648900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 16793604 + 29855296 = 4098^2 + 5464^2 .

It is a super-2 number, since 2×46648900² = 4352239742420000, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 46648900.

It is not an unprimeable number, because it can be changed into a prime (46648909) 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 8 ways as a sum of consecutive naturals, for example, 67959 + ... + 68641.

Almost surely, 2^46648900 is an apocalyptic number.

46648900 is the 6830-th square number.

It is an amenable number.

46648900 is an abundant number, since it is smaller than the sum of its proper divisors (54727641).

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

46648900 is an equidigital number, since it uses as much as digits as its factorization.

46648900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The cubic root of 46648900 is about 359.9817377567.

The spelling of 46648900 in words is "forty-six million, six hundred forty-eight thousand, nine hundred".