406441729 has 16 divisors (see below), whose sum is σ = 436991760. Its totient is φ = 376668160.

The previous prime is 406441723. The next prime is 406441769. The reversal of 406441729 is 927144604.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 71368704 + 335073025 = 8448^2 + 18305^2 .

It is a cyclic number.

It is not a de Polignac number, because 406441729 - 2¹³ = 406433537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406441723) 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, 533709 + ... + 534469.

It is an arithmetic number, because the mean of its divisors is an integer number (27311985).

Almost surely, 2^406441729 is an apocalyptic number.

It is an amenable number.

406441729 is a deficient number, since it is larger than the sum of its proper divisors (30550031).

406441729 is a wasteful number, since it uses less digits than its factorization.

406441729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220.

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 406441729 is about 20160.4000208329. The cubic root of 406441729 is about 740.7405108613.

The spelling of 406441729 in words is "four hundred six million, four hundred forty-one thousand, seven hundred twenty-nine".