409949007 has 16 divisors (see below), whose sum is σ = 590243808. Its totient is φ = 251591040.

The previous prime is 409948969. The next prime is 409949009. The reversal of 409949007 is 700949904.

It is not a de Polignac number, because 409949007 - 2⁶ = 409948943 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 409949007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409949009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457 + ... + 28637.

It is an arithmetic number, because the mean of its divisors is an integer number (36890238).

Almost surely, 2^409949007 is an apocalyptic number.

409949007 is a deficient number, since it is larger than the sum of its proper divisors (180294801).

409949007 is a wasteful number, since it uses less digits than its factorization.

409949007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28570.

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 409949007 is about 20247.1975097790. The cubic root of 409949007 is about 742.8650840955.

The spelling of 409949007 in words is "four hundred nine million, nine hundred forty-nine thousand, seven".