404968 has 16 divisors (see below), whose sum is σ = 766080. Its totient is φ = 200688.

The previous prime is 404959. The next prime is 404969. The reversal of 404968 is 869404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1671 + ... + 1897.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

404968 is a Friedman number, since it can be written as 8*((9+6)^(4+0)-4), using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 446 ⋅ 908 (with its own digits).

2⁴⁰⁴⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

404968 is a deficient number, since it is larger than the sum of its proper divisors (361112).

404968 is a wasteful number, since it uses less digits than its factorization.

404968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 404968 is about 636.3709609968. The cubic root of 404968 is about 73.9844135666.

It can be divided in two parts, 40496 and 8, that added together give a palindrome (40504).

The spelling of 404968 in words is "four hundred four thousand, nine hundred sixty-eight".