441457922929 has 9 divisors (see below), whose sum is σ = 456179158539. Its totient is φ = 427197412080.

The previous prime is 441457922923. The next prime is 441457922953. The reversal of 441457922929 is 929229754144.

The square root of 441457922929 is 664423.

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

It can be written as a sum of positive squares in only one way, i.e., 33964647025 + 407493275904 = 184295^2 + 638352^2 .

It is not a de Polignac number, because 441457922929 - 2⁹ = 441457922417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (441457922923) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20586397 + ... + 20607829.

It is an arithmetic number, because the mean of its divisors is an integer number (50686573171).

Almost surely, 2^441457922929 is an apocalyptic number.

441457922929 is the 664423-rd square number.

441457922929 is the 332212-nd centered octagonal number.

It is an amenable number.

441457922929 is a deficient number, since it is larger than the sum of its proper divisors (14721235610).

441457922929 is an frugal number, since it uses more digits than its factorization.

441457922929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42928 (or 21464 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 58.

The spelling of 441457922929 in words is "four hundred forty-one billion, four hundred fifty-seven million, nine hundred twenty-two thousand, nine hundred twenty-nine".