410505459849 has 27 divisors (see below), whose sum is σ = 607884019509. Its totient is φ = 266944164480.

The previous prime is 410505459839. The next prime is 410505459863. The reversal of 410505459849 is 948954505014.

The square root of 410505459849 is 640707.

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

410505459849 is a `hidden beast` number, since 4 + 1 + 0 + 5 + 0 + 5 + 4 + 598 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2797669449 + 407707790400 = 52893^2 + 638520^2 .

It is a de Polignac number, because none of the positive numbers 2^k-410505459849 is a prime.

It is a super-2 number, since 2×410505459849² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 410505459795 and 410505459804.

It is not an unprimeable number, because it can be changed into a prime (410505459839) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 78804357 + ... + 78809565.

Almost surely, 2^410505459849 is an apocalyptic number.

410505459849 is the 640707-th square number.

410505459849 is the 320354-th centered octagonal number.

It is an amenable number.

410505459849 is a deficient number, since it is larger than the sum of its proper divisors (197378559660).

410505459849 is an frugal number, since it uses more digits than its factorization.

410505459849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10506 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 410505459849 in words is "four hundred ten billion, five hundred five million, four hundred fifty-nine thousand, eight hundred forty-nine".