414381 has 16 divisors (see below), whose sum is σ = 624960. Its totient is φ = 241920.

The previous prime is 414367. The next prime is 414383. The reversal of 414381 is 183414.

It is not a de Polignac number, because 414381 - 2⁹ = 413869 is a prime.

It is a super-2 number, since 2×414381² = 343423226322, which contains 22 as substring.

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

414381 is a lucky number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 741 + ... + 1173.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

2⁴¹⁴³⁸¹ is an apocalyptic number.

It is an amenable number.

414381 is a deficient number, since it is larger than the sum of its proper divisors (210579).

414381 is a wasteful number, since it uses less digits than its factorization.

414381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476.

The product of its digits is 384, while the sum is 21.

The square root of 414381 is about 643.7243198761. The cubic root of 414381 is about 74.5532553173.

Adding to 414381 its reverse (183414), we get a palindrome (597795).

It can be divided in two parts, 4143 and 81, that added together give a palindrome (4224).

The spelling of 414381 in words is "four hundred fourteen thousand, three hundred eighty-one".