401964 has 48 divisors (see below), whose sum is σ = 1034880. Its totient is φ = 120960.

The previous prime is 401959. The next prime is 401981. The reversal of 401964 is 469104.

401964 is nontrivially palindromic in base 7.

401964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9327 + ... + 9369.

It is an arithmetic number, because the mean of its divisors is an integer number (21560).

2⁴⁰¹⁹⁶⁴ 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 401964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517440).

401964 is an abundant number, since it is smaller than the sum of its proper divisors (632916).

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

401964 is a wasteful number, since it uses less digits than its factorization.

401964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 401964 is about 634.0063091169. The cubic root of 401964 is about 73.8010237738.

The spelling of 401964 in words is "four hundred one thousand, nine hundred sixty-four".