407868 has 24 divisors (see below), whose sum is σ = 976080. Its totient is φ = 132480.

The previous prime is 407861. The next prime is 407879. The reversal of 407868 is 868704.

407868 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407861) by changing a digit.

407868 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 7 ways as a sum of consecutive naturals, for example, 78 + ... + 906.

It is an arithmetic number, because the mean of its divisors is an integer number (40670).

2⁴⁰⁷⁸⁶⁸ is an apocalyptic number.

It is an amenable number.

407868 is an abundant number, since it is smaller than the sum of its proper divisors (568212).

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

407868 is a wasteful number, since it uses less digits than its factorization.

407868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 407868 is about 638.6454415401. The cubic root of 407868 is about 74.1605959486.

It can be divided in two parts, 407 and 868, that added together give a triangular number (1275 = T₅₀).

The spelling of 407868 in words is "four hundred seven thousand, eight hundred sixty-eight".