401968 has 40 divisors (see below), whose sum is σ = 923552. Its totient is φ = 165888.

The previous prime is 401959. The next prime is 401981. The reversal of 401968 is 869104.

401968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

401968 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, 4096 + ... + 4192.

2⁴⁰¹⁹⁶⁸ 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 401968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461776).

401968 is an abundant number, since it is smaller than the sum of its proper divisors (521584).

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

401968 is a wasteful number, since it uses less digits than its factorization.

401968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 401968 is about 634.0094636518. The cubic root of 401968 is about 73.8012685744.

It can be divided in two parts, 40196 and 8, that added together give a palindrome (40204).

The spelling of 401968 in words is "four hundred one thousand, nine hundred sixty-eight".