406950857329 has 9 divisors (see below), whose sum is σ = 408800896011. Its totient is φ = 405109162080.

The previous prime is 406950857323. The next prime is 406950857333. The reversal of 406950857329 is 923758059604.

The square root of 406950857329 is 637927.

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., 306055687729 + 100895169600 = 553223^2 + 317640^2 .

It is not a de Polignac number, because 406950857329 - 2³ = 406950857321 is a prime.

It is a super-2 number, since 2×406950857329² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406950857321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 153739084 + ... + 153741730.

It is an arithmetic number, because the mean of its divisors is an integer number (45422321779).

Almost surely, 2^406950857329 is an apocalyptic number.

406950857329 is the 637927-th square number.

406950857329 is the 318964-th centered octagonal number.

It is an amenable number.

406950857329 is a deficient number, since it is larger than the sum of its proper divisors (1850038682).

406950857329 is an frugal number, since it uses more digits than its factorization.

406950857329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5776 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 58.

The spelling of 406950857329 in words is "four hundred six billion, nine hundred fifty million, eight hundred fifty-seven thousand, three hundred twenty-nine".