405355441 has 2 divisors, whose sum is σ = 405355442. Its totient is φ = 405355440.

The previous prime is 405355439. The next prime is 405355451. The reversal of 405355441 is 144553504.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 334121841 + 71233600 = 18279^2 + 8440^2 .

It is a cyclic number.

It is not a de Polignac number, because 405355441 - 2¹ = 405355439 is a prime.

Together with 405355439, it forms a pair of twin primes.

It is equal to p_21606547 and since 405355441 and 21606547 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (405355451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202677720 + 202677721.

It is an arithmetic number, because the mean of its divisors is an integer number (202677721).

Almost surely, 2^405355441 is an apocalyptic number.

It is an amenable number.

405355441 is a deficient number, since it is larger than the sum of its proper divisors (1).

405355441 is an equidigital number, since it uses as much as digits as its factorization.

405355441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 405355441 is about 20133.4408633994. The cubic root of 405355441 is about 740.0800016989.

The spelling of 405355441 in words is "four hundred five million, three hundred fifty-five thousand, four hundred forty-one".