441428967 has 32 divisors (see below), whose sum is σ = 750758400. Its totient is φ = 251109504.

The previous prime is 441428959. The next prime is 441428969. The reversal of 441428967 is 769824144.

It is not a de Polignac number, because 441428967 - 2³ = 441428959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441428969) 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, 37759 + ... + 48047.

It is an arithmetic number, because the mean of its divisors is an integer number (23461200).

Almost surely, 2^441428967 is an apocalyptic number.

441428967 is a deficient number, since it is larger than the sum of its proper divisors (309329433).

441428967 is a wasteful number, since it uses less digits than its factorization.

441428967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10532 (or 10526 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 441428967 is about 21010.2110175029. The cubic root of 441428967 is about 761.4129802222.

The spelling of 441428967 in words is "four hundred forty-one million, four hundred twenty-eight thousand, nine hundred sixty-seven".