405144201 has 48 divisors (see below), whose sum is σ = 721647360. Its totient is φ = 199372320.

The previous prime is 405144197. The next prime is 405144203. The reversal of 405144201 is 102441504.

It is a happy number.

It is not a de Polignac number, because 405144201 - 2² = 405144197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (405144203) 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, 24130 + ... + 37316.

It is an arithmetic number, because the mean of its divisors is an integer number (15034320).

Almost surely, 2^405144201 is an apocalyptic number.

It is an amenable number.

405144201 is a deficient number, since it is larger than the sum of its proper divisors (316503159).

405144201 is a wasteful number, since it uses less digits than its factorization.

405144201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13234 (or 13227 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 405144201 is about 20128.1941812970. The cubic root of 405144201 is about 739.9514218172.

Adding to 405144201 its reverse (102441504), we get a palindrome (507585705).

The spelling of 405144201 in words is "four hundred five million, one hundred forty-four thousand, two hundred one".