400414 has 16 divisors (see below), whose sum is σ = 705888. Its totient is φ = 166752.

The previous prime is 400409. The next prime is 400417. The reversal of 400414 is 414004.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 400394 and 400403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132 + ... + 904.

It is an arithmetic number, because the mean of its divisors is an integer number (44118).

2⁴⁰⁰⁴¹⁴ is an apocalyptic number.

400414 is a deficient number, since it is larger than the sum of its proper divisors (305474).

400414 is a wasteful number, since it uses less digits than its factorization.

400414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819.

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 400414 is about 632.7827431275. The cubic root of 400414 is about 73.7060410254.

Adding to 400414 its reverse (414004), we get a palindrome (814418).

It can be divided in two parts, 400 and 414, that multiplied together give a triangular number (165600 = T₅₇₅).

The spelling of 400414 in words is "four hundred thousand, four hundred fourteen", and thus it is an iban number.