409407476159 has 16 divisors (see below), whose sum is σ = 457695808416. Its totient is φ = 362971046400.

The previous prime is 409407476129. The next prime is 409407476161. The reversal of 409407476159 is 951674704904.

It is a cyclic number.

It is not a de Polignac number, because 409407476159 - 2⁸ = 409407475903 is a prime.

It is a super-2 number, since 2×409407476159² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409407476129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1006829 + ... + 1353705.

It is an arithmetic number, because the mean of its divisors is an integer number (28605988026).

Almost surely, 2^409407476159 is an apocalyptic number.

409407476159 is a deficient number, since it is larger than the sum of its proper divisors (48288332257).

409407476159 is a wasteful number, since it uses less digits than its factorization.

409407476159 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349546.

The product of its (nonzero) digits is 7620480, while the sum is 56.

The spelling of 409407476159 in words is "four hundred nine billion, four hundred seven million, four hundred seventy-six thousand, one hundred fifty-nine".