406968 has 32 divisors (see below), whose sum is σ = 1052160. Its totient is φ = 131040.

The previous prime is 406951. The next prime is 406969. The reversal of 406968 is 869604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406969) 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, 471 + ... + 1017.

It is an arithmetic number, because the mean of its divisors is an integer number (32880).

2⁴⁰⁶⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526080).

406968 is an abundant number, since it is smaller than the sum of its proper divisors (645192).

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

406968 is a wasteful number, since it uses less digits than its factorization.

406968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 406968 is about 637.9404360910. The cubic root of 406968 is about 74.1060082802.

It can be divided in two parts, 40696 and 8, that added together give a palindrome (40704).

The spelling of 406968 in words is "four hundred six thousand, nine hundred sixty-eight".