401409 has 8 divisors (see below), whose sum is σ = 594720. Its totient is φ = 267588.

The previous prime is 401407. The next prime is 401411. The reversal of 401409 is 904104.

It is an interprime number because it is at equal distance from previous prime (401407) and next prime (401411).

It is not a de Polignac number, because 401409 - 2¹ = 401407 is a prime.

It is a super-2 number, since 2×401409² = 322258370562, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401391 and 401400.

It is not an unprimeable number, because it can be changed into a prime (401407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7407 + ... + 7460.

It is an arithmetic number, because the mean of its divisors is an integer number (74340).

It is a Proth number, since it is equal to 49 ⋅ 2¹³ + 1 and 49 < 2¹³.

2⁴⁰¹⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

401409 is a deficient number, since it is larger than the sum of its proper divisors (193311).

401409 is a wasteful number, since it uses less digits than its factorization.

401409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14876 (or 14870 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 401409 is about 633.5684651243. The cubic root of 401409 is about 73.7670419297.

The spelling of 401409 in words is "four hundred one thousand, four hundred nine".