414069 has 16 divisors (see below), whose sum is σ = 611712. Its totient is φ = 247808.

The previous prime is 414061. The next prime is 414077. The reversal of 414069 is 960414.

It is an interprime number because it is at equal distance from previous prime (414061) and next prime (414077).

It is a cyclic number.

It is not a de Polignac number, because 414069 - 2³ = 414061 is a prime.

It is a super-2 number, since 2×414069² = 342906273522, which contains 22 as substring.

414069 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997 + ... + 1349.

It is an arithmetic number, because the mean of its divisors is an integer number (38232).

2⁴¹⁴⁰⁶⁹ is an apocalyptic number.

It is an amenable number.

414069 is a deficient number, since it is larger than the sum of its proper divisors (197643).

414069 is a wasteful number, since it uses less digits than its factorization.

414069 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 414069 is about 643.4819344784. The cubic root of 414069 is about 74.5345394849.

The spelling of 414069 in words is "four hundred fourteen thousand, sixty-nine".