401004405 has 64 divisors (see below), whose sum is σ = 756940800. Its totient is φ = 200854080.

The previous prime is 401004397. The next prime is 401004407. The reversal of 401004405 is 504400104.

It is not a de Polignac number, because 401004405 - 2³ = 401004397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401004407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325140 + ... + 326370.

It is an arithmetic number, because the mean of its divisors is an integer number (11827200).

Almost surely, 2^401004405 is an apocalyptic number.

401004405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

401004405 is a deficient number, since it is larger than the sum of its proper divisors (355936395).

401004405 is a wasteful number, since it uses less digits than its factorization.

401004405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 401004405 is about 20025.0943818001. The cubic root of 401004405 is about 737.4224942011.

Adding to 401004405 its reverse (504400104), we get a palindrome (905404509).

The spelling of 401004405 in words is "four hundred one million, four thousand, four hundred five".