407967 has 8 divisors (see below), whose sum is σ = 621696. Its totient is φ = 233112.

The previous prime is 407959. The next prime is 407969. The reversal of 407967 is 769704.

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

It is not a de Polignac number, because 407967 - 2³ = 407959 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407969) 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, 9693 + ... + 9734.

It is an arithmetic number, because the mean of its divisors is an integer number (77712).

2⁴⁰⁷⁹⁶⁷ is an apocalyptic number.

407967 is a deficient number, since it is larger than the sum of its proper divisors (213729).

407967 is a wasteful number, since it uses less digits than its factorization.

407967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19437.

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 407967 is about 638.7229446325. The cubic root of 407967 is about 74.1665956879.

The spelling of 407967 in words is "four hundred seven thousand, nine hundred sixty-seven".