406884052053 has 24 divisors (see below), whose sum is σ = 593838831768. Its totient is φ = 268433160192.

The previous prime is 406884052019. The next prime is 406884052061. The reversal of 406884052053 is 350250488604.

406884052053 is a `hidden beast` number, since 4 + 0 + 6 + 88 + 40 + 520 + 5 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 218269299249 + 188614752804 = 467193^2 + 434298^2 .

It is not a de Polignac number, because 406884052053 - 2⁸ = 406884051797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406884052073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13248151 + ... + 13278827.

It is an arithmetic number, because the mean of its divisors is an integer number (24743284657).

Almost surely, 2^406884052053 is an apocalyptic number.

It is an amenable number.

406884052053 is a deficient number, since it is larger than the sum of its proper divisors (186954779715).

406884052053 is a wasteful number, since it uses less digits than its factorization.

406884052053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45973 (or 45970 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 406884052053 in words is "four hundred six billion, eight hundred eighty-four million, fifty-two thousand, fifty-three".