408007 has 4 divisors (see below), whose sum is σ = 416736. Its totient is φ = 399280.

The previous prime is 407993. The next prime is 408011. The reversal of 408007 is 700804.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 408007 - 2⁷ = 407879 is a prime.

It is an Ulam number.

It is a Duffinian 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 (408077) 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 3 ways as a sum of consecutive naturals, for example, 4294 + ... + 4387.

It is an arithmetic number, because the mean of its divisors is an integer number (104184).

2⁴⁰⁸⁰⁰⁷ is an apocalyptic number.

408007 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

408007 is a deficient number, since it is larger than the sum of its proper divisors (8729).

408007 is an equidigital number, since it uses as much as digits as its factorization.

408007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8728.

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 408007 is about 638.7542563459. The cubic root of 408007 is about 74.1690195497.

The spelling of 408007 in words is "four hundred eight thousand, seven".