414387 has 12 divisors (see below), whose sum is σ = 613704. Its totient is φ = 269280.

The previous prime is 414383. The next prime is 414389. The reversal of 414387 is 783414.

It is not a de Polignac number, because 414387 - 2² = 414383 is a prime.

It is an alternating number because its digits alternate between even and odd.

414387 is a lucky number.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 414387.

It is not an unprimeable number, because it can be changed into a prime (414383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193 + ... + 930.

It is an arithmetic number, because the mean of its divisors is an integer number (51142).

2⁴¹⁴³⁸⁷ is an apocalyptic number.

414387 is a deficient number, since it is larger than the sum of its proper divisors (199317).

414387 is a wasteful number, since it uses less digits than its factorization.

414387 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1167 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 414387 is about 643.7289802394. The cubic root of 414387 is about 74.5536151450.

Adding to 414387 its sum of digits (27), we get a palindrome (414414).

The spelling of 414387 in words is "four hundred fourteen thousand, three hundred eighty-seven".