401359 has 6 divisors (see below), whose sum is σ = 466944. Its totient is φ = 343980.

The previous prime is 401347. The next prime is 401371. The reversal of 401359 is 953104.

It is an interprime number because it is at equal distance from previous prime (401347) and next prime (401371).

It is not a de Polignac number, because 401359 - 2⁷ = 401231 is a prime.

It is a super-3 number, since 3×401359³ = 193963616301333837, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an Ulam number.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4047 + ... + 4144.

It is an arithmetic number, because the mean of its divisors is an integer number (77824).

2⁴⁰¹³⁵⁹ is an apocalyptic number.

401359 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

401359 is a deficient number, since it is larger than the sum of its proper divisors (65585).

401359 is an equidigital number, since it uses as much as digits as its factorization.

401359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8205 (or 8198 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 401359 is about 633.5290048609. The cubic root of 401359 is about 73.7639789647.

The spelling of 401359 in words is "four hundred one thousand, three hundred fifty-nine".