401752 has 16 divisors (see below), whose sum is σ = 811440. Its totient is φ = 185376.

The previous prime is 401743. The next prime is 401771. The reversal of 401752 is 257104.

It is a super-2 number, since 2×401752² = 322809339008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

401752 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1828 + ... + 2035.

It is an arithmetic number, because the mean of its divisors is an integer number (50715).

2⁴⁰¹⁷⁵² is an apocalyptic number.

It is an amenable number.

401752 is an abundant number, since it is smaller than the sum of its proper divisors (409688).

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

401752 is a wasteful number, since it uses less digits than its factorization.

401752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3882 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 401752 is about 633.8390963013. The cubic root of 401752 is about 73.7880470160.

Adding to 401752 its reverse (257104), we get a palindrome (658856).

The spelling of 401752 in words is "four hundred one thousand, seven hundred fifty-two".