45200461 has 2 divisors, whose sum is σ = 45200462. Its totient is φ = 45200460.

The previous prime is 45200459. The next prime is 45200471. The reversal of 45200461 is 16400254.

45200461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27510025 + 17690436 = 5245^2 + 4206^2 .

It is a cyclic number.

It is not a de Polignac number, because 45200461 - 2¹ = 45200459 is a prime.

It is a super-2 number, since 2×45200461² = 4086163349225042, which contains 22 as substring.

Together with 45200459, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45200401) 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 as a sum of consecutive naturals, namely, 22600230 + 22600231.

It is an arithmetic number, because the mean of its divisors is an integer number (22600231).

Almost surely, 2^45200461 is an apocalyptic number.

It is an amenable number.

45200461 is a deficient number, since it is larger than the sum of its proper divisors (1).

45200461 is an equidigital number, since it uses as much as digits as its factorization.

45200461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 45200461 is about 6723.1288103085. The cubic root of 45200461 is about 356.2167098881.

The spelling of 45200461 in words is "forty-five million, two hundred thousand, four hundred sixty-one".