400407 has 16 divisors (see below), whose sum is σ = 637440. Its totient is φ = 218592.

The previous prime is 400391. The next prime is 400409. The reversal of 400407 is 704004.

It is not a de Polignac number, because 400407 - 2⁴ = 400391 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 400407.

It is not an unprimeable number, because it can be changed into a prime (400409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69 + ... + 897.

It is an arithmetic number, because the mean of its divisors is an integer number (39840).

2⁴⁰⁰⁴⁰⁷ is an apocalyptic number.

400407 is a deficient number, since it is larger than the sum of its proper divisors (237033).

400407 is a wasteful number, since it uses less digits than its factorization.

400407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862.

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 400407 is about 632.7772119791. Note that the first 3 decimals coincide. The cubic root of 400407 is about 73.7056115155.

The spelling of 400407 in words is "four hundred thousand, four hundred seven", and thus it is an iban number.