407879849 has 16 divisors (see below), whose sum is σ = 451113600. Its totient is φ = 366387840.

The previous prime is 407879837. The next prime is 407879869. The reversal of 407879849 is 948978704.

It is not a de Polignac number, because 407879849 - 2⁴ = 407879833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 407879794 and 407879803.

It is not an unprimeable number, because it can be changed into a prime (407879819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290852 + ... + 292250.

It is an arithmetic number, because the mean of its divisors is an integer number (28194600).

Almost surely, 2^407879849 is an apocalyptic number.

It is an amenable number.

407879849 is a deficient number, since it is larger than the sum of its proper divisors (43233751).

407879849 is a wasteful number, since it uses less digits than its factorization.

407879849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000.

The product of its (nonzero) digits is 4064256, while the sum is 56.

The square root of 407879849 is about 20196.0354772911. The cubic root of 407879849 is about 741.6131408972.

The spelling of 407879849 in words is "four hundred seven million, eight hundred seventy-nine thousand, eight hundred forty-nine".