420417225 has 36 divisors (see below), whose sum is σ = 797316156. Its totient is φ = 211031040.

The previous prime is 420417197. The next prime is 420417227. The reversal of 420417225 is 522714024.

420417225 is a `hidden beast` number, since 4 + 20 + 417 + 225 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3767481 + 416649744 = 1941^2 + 20412^2 .

It is not a de Polignac number, because 420417225 - 2⁷ = 420417097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420417227) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51132 + ... + 58781.

It is an arithmetic number, because the mean of its divisors is an integer number (22147671).

Almost surely, 2^420417225 is an apocalyptic number.

420417225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420417225 is a deficient number, since it is larger than the sum of its proper divisors (376898931).

420417225 is a wasteful number, since it uses less digits than its factorization.

420417225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109946 (or 109938 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 420417225 is about 20504.0782528745. The cubic root of 420417225 is about 749.1351363980.

The spelling of 420417225 in words is "four hundred twenty million, four hundred seventeen thousand, two hundred twenty-five".