414011025 has 18 divisors (see below), whose sum is σ = 741540150. Its totient is φ = 220805760.

The previous prime is 414010997. The next prime is 414011077. The reversal of 414011025 is 520110414.

It can be written as a sum of positive squares in 3 ways, for example, as 14930496 + 399080529 = 3864^2 + 19977^2 .

It is not a de Polignac number, because 414011025 - 2⁸ = 414010769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414010989 and 414011007.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 919800 + ... + 920249.

It is an arithmetic number, because the mean of its divisors is an integer number (41196675).

Almost surely, 2^414011025 is an apocalyptic number.

414011025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414011025 is a deficient number, since it is larger than the sum of its proper divisors (327529125).

414011025 is a wasteful number, since it uses less digits than its factorization.

414011025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840065 (or 1840057 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 414011025 is about 20347.2608721666. The cubic root of 414011025 is about 745.3106072365.

Adding to 414011025 its reverse (520110414), we get a palindrome (934121439).

The spelling of 414011025 in words is "four hundred fourteen million, eleven thousand, twenty-five".