400468 has 12 divisors (see below), whose sum is σ = 714420. Its totient is φ = 196352.

The previous prime is 400457. The next prime is 400471. The reversal of 400468 is 864004.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 158404 = 492^2 + 398^2 .

It is a congruent number.

It is an unprimeable number.

400468 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 733 + ... + 1156.

It is an arithmetic number, because the mean of its divisors is an integer number (59535).

2⁴⁰⁰⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

400468 is a deficient number, since it is larger than the sum of its proper divisors (313952).

400468 is a wasteful number, since it uses less digits than its factorization.

400468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 400468 is about 632.8254103621. The cubic root of 400468 is about 73.7093542190.

It can be divided in two parts, 4004 and 68, that multiplied together give a palindrome (272272).

The spelling of 400468 in words is "four hundred thousand, four hundred sixty-eight".