415127025 has 60 divisors (see below), whose sum is σ = 795587100. Its totient is φ = 213736320.

The previous prime is 415127003. The next prime is 415127051. The reversal of 415127025 is 520721514.

It can be written as a sum of positive squares in 6 ways, for example, as 17363889 + 397763136 = 4167^2 + 19944^2 .

It is not a de Polignac number, because 415127025 - 2⁷ = 415126897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 415127025.

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 59 ways as a sum of consecutive naturals, for example, 55191 + ... + 62259.

It is an arithmetic number, because the mean of its divisors is an integer number (13259785).

Almost surely, 2^415127025 is an apocalyptic number.

415127025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

415127025 is a deficient number, since it is larger than the sum of its proper divisors (380460075).

415127025 is a wasteful number, since it uses less digits than its factorization.

415127025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7120 (or 7106 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 415127025 is about 20374.6662549353. Note that the first 3 decimals coincide. The cubic root of 415127025 is about 745.9796879614.

Adding to 415127025 its reverse (520721514), we get a palindrome (935848539).

The spelling of 415127025 in words is "four hundred fifteen million, one hundred twenty-seven thousand, twenty-five".