444505461 has 32 divisors (see below), whose sum is σ = 618528768. Its totient is φ = 283772160.

The previous prime is 444505447. The next prime is 444505487. The reversal of 444505461 is 164505444.

It is not a de Polignac number, because 444505461 - 2⁷ = 444505333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444505561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1844301 + ... + 1844541.

It is an arithmetic number, because the mean of its divisors is an integer number (19329024).

Almost surely, 2^444505461 is an apocalyptic number.

It is an amenable number.

444505461 is a deficient number, since it is larger than the sum of its proper divisors (174023307).

444505461 is a wasteful number, since it uses less digits than its factorization.

444505461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521.

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 444505461 is about 21083.2981528033. The cubic root of 444505461 is about 763.1777500309.

The spelling of 444505461 in words is "four hundred forty-four million, five hundred five thousand, four hundred sixty-one".