401952 has 48 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 129792.

The previous prime is 401939. The next prime is 401953. The reversal of 401952 is 259104.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401953) by changing a digit.

401952 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5049 + ... + 5127.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁴⁰¹⁹⁵² 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 401952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

401952 is an abundant number, since it is smaller than the sum of its proper divisors (686688).

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

401952 is a wasteful number, since it uses less digits than its factorization.

401952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 401952 is about 633.9968454180. The cubic root of 401952 is about 73.8002893622.

The spelling of 401952 in words is "four hundred one thousand, nine hundred fifty-two".