414725627 has 8 divisors (see below), whose sum is σ = 435416064. Its totient is φ = 394256808.

The previous prime is 414725599. The next prime is 414725699. The reversal of 414725627 is 726527414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414725627 - 2¹⁶ = 414660091 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414725327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51563 + ... + 59060.

It is an arithmetic number, because the mean of its divisors is an integer number (54427008).

Almost surely, 2^414725627 is an apocalyptic number.

414725627 is a deficient number, since it is larger than the sum of its proper divisors (20690437).

414725627 is a wasteful number, since it uses less digits than its factorization.

414725627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110809.

The product of its digits is 94080, while the sum is 38.

The square root of 414725627 is about 20364.8134536018. The cubic root of 414725627 is about 745.7391741755.

The spelling of 414725627 in words is "four hundred fourteen million, seven hundred twenty-five thousand, six hundred twenty-seven".