405315441 has 16 divisors (see below), whose sum is σ = 605056320. Its totient is φ = 268145280.

The previous prime is 405315431. The next prime is 405315457. The reversal of 405315441 is 144513504.

It is a happy number.

405315441 is a `hidden beast` number, since 40 + 531 + 54 + 41 = 666.

It is not a de Polignac number, because 405315441 - 2¹¹ = 405313393 is a prime.

It is a super-3 number, since 3×405315441³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (405315401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53760 + ... + 60833.

It is an arithmetic number, because the mean of its divisors is an integer number (37816020).

Almost surely, 2^405315441 is an apocalyptic number.

It is an amenable number.

405315441 is a deficient number, since it is larger than the sum of its proper divisors (199740879).

405315441 is a wasteful number, since it uses less digits than its factorization.

405315441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114733 (or 114727 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 405315441 is about 20132.4474667140. The cubic root of 405315441 is about 740.0556574889.

Adding to 405315441 its reverse (144513504), we get a palindrome (549828945).

The spelling of 405315441 in words is "four hundred five million, three hundred fifteen thousand, four hundred forty-one".