406983853 has 2 divisors, whose sum is σ = 406983854. Its totient is φ = 406983852.

The previous prime is 406983823. The next prime is 406983869. The reversal of 406983853 is 358389604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 405700164 + 1283689 = 20142^2 + 1133^2 .

It is a cyclic number.

It is not a de Polignac number, because 406983853 - 2²¹ = 404886701 is a prime.

It is a super-3 number, since 3×406983853³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (406983803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203491926 + 203491927.

It is an arithmetic number, because the mean of its divisors is an integer number (203491927).

Almost surely, 2^406983853 is an apocalyptic number.

It is an amenable number.

406983853 is a deficient number, since it is larger than the sum of its proper divisors (1).

406983853 is an equidigital number, since it uses as much as digits as its factorization.

406983853 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 406983853 is about 20173.8408093253. The cubic root of 406983853 is about 741.0697050760.

It can be divided in two parts, 40698 and 3853, that added together give a triangular number (44551 = T₂₉₈).

The spelling of 406983853 in words is "four hundred six million, nine hundred eighty-three thousand, eight hundred fifty-three".