414138 has 16 divisors (see below), whose sum is σ = 864576. Its totient is φ = 132000.

The previous prime is 414131. The next prime is 414157. The reversal of 414138 is 831414.

It is a Curzon number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (414131) by changing a digit.

414138 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1363 + ... + 1638.

It is an arithmetic number, because the mean of its divisors is an integer number (54036).

2⁴¹⁴¹³⁸ is an apocalyptic number.

414138 is an abundant number, since it is smaller than the sum of its proper divisors (450438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414138 is a wasteful number, since it uses less digits than its factorization.

414138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3029.

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

The square root of 414138 is about 643.5355468037. The cubic root of 414138 is about 74.5386793727.

The spelling of 414138 in words is "four hundred fourteen thousand, one hundred thirty-eight".