49479308427409 has 27 divisors (see below), whose sum is σ = 59612466212091. Its totient is φ = 40947211443600.

The previous prime is 49479308427391. The next prime is 49479308427449. The reversal of 49479308427409 is 90472480397494.

The square root of 49479308427409 is 7034153.

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., 25945749127809 + 23533559299600 = 5093697^2 + 4851140^2 .

It is not a de Polignac number, because 49479308427409 - 2¹⁷ = 49479308296337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (49479308427449) 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, 1427915734 + ... + 1427950384.

Almost surely, 2^{49479308427409} is an apocalyptic number.

49479308427409 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

49479308427409 is the 7034153-rd square number.

49479308427409 is the 3517077-th centered octagonal number.

It is an amenable number.

49479308427409 is a deficient number, since it is larger than the sum of its proper divisors (10133157784682).

49479308427409 is an frugal number, since it uses more digits than its factorization.

49479308427409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69374 (or 34687 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 70.

The spelling of 49479308427409 in words is "forty-nine trillion, four hundred seventy-nine billion, three hundred eight million, four hundred twenty-seven thousand, four hundred nine".