407867 has 8 divisors (see below), whose sum is σ = 430080. Its totient is φ = 386280.

The previous prime is 407861. The next prime is 407879. The reversal of 407867 is 768704.

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 407867 - 2¹⁸ = 145723 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407867.

It is not an unprimeable number, because it can be changed into a prime (407861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1718 + ... + 1940.

It is an arithmetic number, because the mean of its divisors is an integer number (53760).

2⁴⁰⁷⁸⁶⁷ is an apocalyptic number.

407867 is a deficient number, since it is larger than the sum of its proper divisors (22213).

407867 is a wasteful number, since it uses less digits than its factorization.

407867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313.

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 407867 is about 638.6446586326. The cubic root of 407867 is about 74.1605353402.

The spelling of 407867 in words is "four hundred seven thousand, eight hundred sixty-seven".