405314309449 has 27 divisors (see below), whose sum is σ = 476649877293. Its totient is φ = 343649705112.

The previous prime is 405314309443. The next prime is 405314309459. The reversal of 405314309449 is 944903413504.

The square root of 405314309449 is 636643.

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

It is not a de Polignac number, because 405314309449 - 2¹¹ = 405314307401 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 405314309399 and 405314309408.

It is not an unprimeable number, because it can be changed into a prime (405314309443) 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, 459019162 + ... + 459020044.

It is an arithmetic number, because the mean of its divisors is an integer number (17653699159).

Almost surely, 2^405314309449 is an apocalyptic number.

405314309449 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

405314309449 is the 636643-rd square number.

405314309449 is the 318322-nd centered octagonal number.

It is an amenable number.

405314309449 is a deficient number, since it is larger than the sum of its proper divisors (71335567844).

405314309449 is an frugal number, since it uses more digits than its factorization.

405314309449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 405314309449 in words is "four hundred five billion, three hundred fourteen million, three hundred nine thousand, four hundred forty-nine".