414401405 has 12 divisors (see below), whose sum is σ = 546599676. Its totient is φ = 301382400.

The previous prime is 414401399. The next prime is 414401413. The reversal of 414401405 is 504104414.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 267191716 + 147209689 = 16346^2 + 12133^2 .

It is not a de Polignac number, because 414401405 - 2¹⁴ = 414385021 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 341876 + ... + 343085.

It is an arithmetic number, because the mean of its divisors is an integer number (45549973).

Almost surely, 2^414401405 is an apocalyptic number.

It is an amenable number.

414401405 is a deficient number, since it is larger than the sum of its proper divisors (132198271).

414401405 is a wasteful number, since it uses less digits than its factorization.

414401405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684988 (or 684977 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 414401405 is about 20356.8515492942. The cubic root of 414401405 is about 745.5447901737.

Adding to 414401405 its reverse (504104414), we get a palindrome (918505819).

The spelling of 414401405 in words is "four hundred fourteen million, four hundred one thousand, four hundred five".