400540 has 24 divisors (see below), whose sum is σ = 961632. Its totient is φ = 137280.

The previous prime is 400523. The next prime is 400559. The reversal of 400540 is 45004.

400540 = T₁₄ + T₁₅ + ... + T₁₃₃.

400540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

400540 is a modest number, since divided by 540 gives 400 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 400540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1291 + ... + 1570.

It is an arithmetic number, because the mean of its divisors is an integer number (40068).

2⁴⁰⁰⁵⁴⁰ is an apocalyptic number.

It is an amenable number.

400540 is an abundant number, since it is smaller than the sum of its proper divisors (561092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400540 is a wasteful number, since it uses less digits than its factorization.

400540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 400540 is about 632.8822955337. The cubic root of 400540 is about 73.7137713471.

Adding to 400540 its reverse (45004), we get a palindrome (445544).

It can be divided in two parts, 400 and 540, that multiplied together give a cube (216000 = 60³).

The spelling of 400540 in words is "four hundred thousand, five hundred forty".