405153641 has 2 divisors, whose sum is σ = 405153642. Its totient is φ = 405153640.

The previous prime is 405153613. The next prime is 405153647. The reversal of 405153641 is 146351504.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 377486041 + 27667600 = 19429^2 + 5260^2 .

It is a cyclic number.

It is not a de Polignac number, because 405153641 - 2¹⁸ = 404891497 is a prime.

It is not a weakly prime, because it can be changed into another prime (405153647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202576820 + 202576821.

It is an arithmetic number, because the mean of its divisors is an integer number (202576821).

Almost surely, 2^405153641 is an apocalyptic number.

It is an amenable number.

405153641 is a deficient number, since it is larger than the sum of its proper divisors (1).

405153641 is an equidigital number, since it uses as much as digits as its factorization.

405153641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 405153641 is about 20128.4286768739. The cubic root of 405153641 is about 739.9571688139.

The spelling of 405153641 in words is "four hundred five million, one hundred fifty-three thousand, six hundred forty-one".