407849 has 8 divisors (see below), whose sum is σ = 444360. Its totient is φ = 372096.

The previous prime is 407843. The next prime is 407857. The reversal of 407849 is 948704.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 94249 + 313600 = 307^2 + 560^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 407849 - 2⁴ = 407833 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1667 + ... + 1895.

It is an arithmetic number, because the mean of its divisors is an integer number (55545).

2⁴⁰⁷⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

407849 is a deficient number, since it is larger than the sum of its proper divisors (36511).

407849 is a wasteful number, since it uses less digits than its factorization.

407849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 407849 is about 638.6305661335. The cubic root of 407849 is about 74.1594443724.

It can be divided in two parts, 407 and 849, that multiplied together give a palindrome (345543).

The spelling of 407849 in words is "four hundred seven thousand, eight hundred forty-nine".