414025 has 6 divisors (see below), whose sum is σ = 513422. Its totient is φ = 331200.

The previous prime is 414019. The next prime is 414031. The reversal of 414025 is 520414.

It is an interprime number because it is at equal distance from previous prime (414019) and next prime (414031).

It can be written as a sum of positive squares in 3 ways, for example, as 576 + 413449 = 24^2 + 643^2 .

It is not a de Polignac number, because 414025 - 2³ = 414017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8256 + ... + 8305.

2⁴¹⁴⁰²⁵ is an apocalyptic number.

It is an amenable number.

414025 is a deficient number, since it is larger than the sum of its proper divisors (99397).

414025 is a wasteful number, since it uses less digits than its factorization.

414025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16571 (or 16566 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 414025 is about 643.4477445760. The cubic root of 414025 is about 74.5318993163.

Adding to 414025 its reverse (520414), we get a palindrome (934439).

It can be divided in two parts, 41 and 4025, that multiplied together give a triangular number (165025 = T₅₇₄).

The spelling of 414025 in words is "four hundred fourteen thousand, twenty-five".