400767 has 16 divisors (see below), whose sum is σ = 576000. Its totient is φ = 247104.

The previous prime is 400759. The next prime is 400823. The reversal of 400767 is 767004.

It is not a de Polignac number, because 400767 - 2³ = 400759 is a prime.

It is a super-2 number, since 2×400767² = 321228376578, which contains 22 as substring.

400767 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4459 + ... + 4547.

It is an arithmetic number, because the mean of its divisors is an integer number (36000).

2⁴⁰⁰⁷⁶⁷ is an apocalyptic number.

400767 is a deficient number, since it is larger than the sum of its proper divisors (175233).

400767 is a wasteful number, since it uses less digits than its factorization.

400767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190.

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 400767 is about 633.0616083763. The cubic root of 400767 is about 73.7276941064.

The spelling of 400767 in words is "four hundred thousand, seven hundred sixty-seven".