441461307 has 16 divisors (see below), whose sum is σ = 673009920. Its totient is φ = 252148512.

The previous prime is 441461261. The next prime is 441461347. The reversal of 441461307 is 703164144.

It is not a de Polignac number, because 441461307 - 2⁷ = 441461179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (441461347) 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 15 ways as a sum of consecutive naturals, for example, 68068 + ... + 74270.

It is an arithmetic number, because the mean of its divisors is an integer number (42063120).

Almost surely, 2^441461307 is an apocalyptic number.

441461307 is a deficient number, since it is larger than the sum of its proper divisors (231548613).

441461307 is a wasteful number, since it uses less digits than its factorization.

441461307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9602.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 441461307 is about 21010.9806291853. The cubic root of 441461307 is about 761.4315739986.

The spelling of 441461307 in words is "four hundred forty-one million, four hundred sixty-one thousand, three hundred seven".