407468 has 24 divisors (see below), whose sum is σ = 768768. Its totient is φ = 188496.

The previous prime is 407437. The next prime is 407471. The reversal of 407468 is 864704.

It is a self number, because there is not a number n which added to its sum of digits gives 407468.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407468.

It is an unprimeable number.

407468 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3905 + ... + 4007.

It is an arithmetic number, because the mean of its divisors is an integer number (32032).

2⁴⁰⁷⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

407468 is a deficient number, since it is larger than the sum of its proper divisors (361300).

407468 is a wasteful number, since it uses less digits than its factorization.

407468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 407468 is about 638.3322019137. The cubic root of 407468 is about 74.1363446867.

The spelling of 407468 in words is "four hundred seven thousand, four hundred sixty-eight".