400807 has 8 divisors (see below), whose sum is σ = 443520. Its totient is φ = 359160.

The previous prime is 400759. The next prime is 400823. The reversal of 400807 is 708004.

It is a happy number.

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 400807 - 2⁷ = 400679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400837) 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, 694 + ... + 1132.

It is an arithmetic number, because the mean of its divisors is an integer number (55440).

2⁴⁰⁰⁸⁰⁷ is an apocalyptic number.

400807 is a deficient number, since it is larger than the sum of its proper divisors (42713).

400807 is a wasteful number, since it uses less digits than its factorization.

400807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533.

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

The square root of 400807 is about 633.0932000898. The cubic root of 400807 is about 73.7301469112.

The spelling of 400807 in words is "four hundred thousand, eight hundred seven".