414958853929 has 3 divisors (see below), whose sum is σ = 414959498103. Its totient is φ = 414958209756.

The previous prime is 414958853891. The next prime is 414958853941. The reversal of 414958853929 is 929358859414.

The square root of 414958853929 is 644173.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 155875225 + 414802978704 = 12485^2 + 644052^2 .

It is not a de Polignac number, because 414958853929 - 2¹⁵ = 414958821161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414908853929) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 322087 + ... + 966259.

It is an arithmetic number, because the mean of its divisors is an integer number (138319832701).

Almost surely, 2^414958853929 is an apocalyptic number.

414958853929 is the 644173-rd square number.

414958853929 is the 322087-th centered octagonal number.

It is an amenable number.

414958853929 is a deficient number, since it is larger than the sum of its proper divisors (644174).

414958853929 is an frugal number, since it uses more digits than its factorization.

414958853929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288346 (or 644173 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 67.

The spelling of 414958853929 in words is "four hundred fourteen billion, nine hundred fifty-eight million, eight hundred fifty-three thousand, nine hundred twenty-nine".