401759 has 6 divisors (see below), whose sum is σ = 413520. Its totient is φ = 390320.

The previous prime is 401743. The next prime is 401771. The reversal of 401759 is 957104.

It is not a de Polignac number, because 401759 - 2⁴ = 401743 is a prime.

It is a super-2 number, since 2×401759² = 322820588162, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 401759.

It is not an unprimeable number, because it can be changed into a prime (401959) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1562 + ... + 1800.

It is an arithmetic number, because the mean of its divisors is an integer number (68920).

2⁴⁰¹⁷⁵⁹ is an apocalyptic number.

401759 is a deficient number, since it is larger than the sum of its proper divisors (11761).

401759 is an equidigital number, since it uses as much as digits as its factorization.

401759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 401759 is about 633.8446181834. The cubic root of 401759 is about 73.7884755667.

The spelling of 401759 in words is "four hundred one thousand, seven hundred fifty-nine".