405696385249 has 9 divisors (see below), whose sum is σ = 406912114899. Its totient is φ = 404484282720.

The previous prime is 405696385189. The next prime is 405696385261. The reversal of 405696385249 is 942583696504.

The square root of 405696385249 is 636943.

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., 45494757025 + 360201628224 = 213295^2 + 600168^2 .

It is not a de Polignac number, because 405696385249 - 2⁷ = 405696385121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (405696388249) 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, 275795584 + ... + 275797054.

It is an arithmetic number, because the mean of its divisors is an integer number (45212457211).

Almost surely, 2^405696385249 is an apocalyptic number.

405696385249 is the 636943-rd square number.

405696385249 is the 318472-nd centered octagonal number.

It is an amenable number.

405696385249 is a deficient number, since it is larger than the sum of its proper divisors (1215729650).

405696385249 is an frugal number, since it uses more digits than its factorization.

405696385249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 61.

The spelling of 405696385249 in words is "four hundred five billion, six hundred ninety-six million, three hundred eighty-five thousand, two hundred forty-nine".