405224001 has 48 divisors (see below), whose sum is σ = 758343040. Its totient is φ = 202487040.

The previous prime is 405223993. The next prime is 405224041. The reversal of 405224001 is 100422504.

It is a Cunningham number, because it is equal to 740³+1.

It is not a de Polignac number, because 405224001 - 2³ = 405223993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (405224041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2541 + ... + 28581.

Almost surely, 2^405224001 is an apocalyptic number.

It is an amenable number.

405224001 is a deficient number, since it is larger than the sum of its proper divisors (353119039).

405224001 is a wasteful number, since it uses less digits than its factorization.

405224001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26086 (or 26083 counting only the distinct ones).

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

The square root of 405224001 is about 20130.1763777668. The cubic root of 405224001 is about 740.0000006087. Note that the first 6 decimals are identical.

Adding to 405224001 its reverse (100422504), we get a palindrome (505646505).

The spelling of 405224001 in words is "four hundred five million, two hundred twenty-four thousand, one".