414674029253 has 24 divisors (see below), whose sum is σ = 472389650040. Its totient is φ = 363302755200.

The previous prime is 414674029249. The next prime is 414674029261. The reversal of 414674029253 is 352920476414.

It can be written as a sum of positive squares in 4 ways, for example, as 97442616964 + 317231412289 = 312158^2 + 563233^2 .

It is not a de Polignac number, because 414674029253 - 2² = 414674029249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414674029198 and 414674029207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414674829253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1789151 + ... + 2007587.

It is an arithmetic number, because the mean of its divisors is an integer number (19682902085).

Almost surely, 2^414674029253 is an apocalyptic number.

It is an amenable number.

414674029253 is a deficient number, since it is larger than the sum of its proper divisors (57715620787).

414674029253 is a wasteful number, since it uses less digits than its factorization.

414674029253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219029 (or 219018 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 414674029253 in words is "four hundred fourteen billion, six hundred seventy-four million, twenty-nine thousand, two hundred fifty-three".