405759305853 has 48 divisors (see below), whose sum is σ = 661519741120. Its totient is φ = 245624749920.

The previous prime is 405759305849. The next prime is 405759305863. The reversal of 405759305853 is 358503957504.

405759305853 is a `hidden beast` number, since 4 + 0 + 5 + 7 + 59 + 3 + 0 + 585 + 3 = 666.

It is not a de Polignac number, because 405759305853 - 2² = 405759305849 is a prime.

It is a super-2 number, since 2×405759305853² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 405759305853.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405759305843) 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, 2713950 + ... + 2859552.

Almost surely, 2^405759305853 is an apocalyptic number.

It is an amenable number.

405759305853 is a deficient number, since it is larger than the sum of its proper divisors (255760435267).

405759305853 is a wasteful number, since it uses less digits than its factorization.

405759305853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146487 (or 146470 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 405759305853 in words is "four hundred five billion, seven hundred fifty-nine million, three hundred five thousand, eight hundred fifty-three".