401728 has 14 divisors (see below), whose sum is σ = 797306. Its totient is φ = 200832.

The previous prime is 401711. The next prime is 401743. The reversal of 401728 is 827104.

401728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 399424 + 2304 = 632^2 + 48^2 .

It is a super-2 number, since 2×401728² = 322770771968, which contains 22 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 401699 and 401708.

It is a congruent number.

It is an unprimeable number.

401728 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 as a sum of consecutive naturals, namely, 3075 + ... + 3202.

2⁴⁰¹⁷²⁸ is an apocalyptic number.

It is an amenable number.

401728 is a deficient number, since it is larger than the sum of its proper divisors (395578).

401728 is an equidigital number, since it uses as much as digits as its factorization.

401728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6289 (or 6279 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 401728 is about 633.8201637689. The cubic root of 401728 is about 73.7865776614.

The spelling of 401728 in words is "four hundred one thousand, seven hundred twenty-eight".