405253641 has 32 divisors (see below), whose sum is σ = 614333440. Its totient is φ = 235566144.

The previous prime is 405253613. The next prime is 405253643. The reversal of 405253641 is 146352504.

It is not a de Polignac number, because 405253641 - 2⁶ = 405253577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 405253599 and 405253608.

It is not an unprimeable number, because it can be changed into a prime (405253643) 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 in 31 ways as a sum of consecutive naturals, for example, 360306 + ... + 361428.

It is an arithmetic number, because the mean of its divisors is an integer number (19197920).

Almost surely, 2^405253641 is an apocalyptic number.

It is an amenable number.

405253641 is a deficient number, since it is larger than the sum of its proper divisors (209079799).

405253641 is a wasteful number, since it uses less digits than its factorization.

405253641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 405253641 is about 20130.9125724593. The cubic root of 405253641 is about 740.0180425355.

The spelling of 405253641 in words is "four hundred five million, two hundred fifty-three thousand, six hundred forty-one".