414051225 has 72 divisors (see below), whose sum is σ = 809823168. Its totient is φ = 186076800.

The previous prime is 414051181. The next prime is 414051259. The reversal of 414051225 is 522150414.

It is not a de Polignac number, because 414051225 - 2⁸ = 414050969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414051195 and 414051204.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 223252 + ... + 225098.

It is an arithmetic number, because the mean of its divisors is an integer number (11247544).

Almost surely, 2^414051225 is an apocalyptic number.

It is an amenable number.

414051225 is a deficient number, since it is larger than the sum of its proper divisors (395771943).

414051225 is a wasteful number, since it uses less digits than its factorization.

414051225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 414051225 is about 20348.2486961409. The cubic root of 414051225 is about 745.3347293934.

The spelling of 414051225 in words is "four hundred fourteen million, fifty-one thousand, two hundred twenty-five".