414348 has 48 divisors (see below), whose sum is σ = 1094016. Its totient is φ = 120960.

The previous prime is 414347. The next prime is 414361. The reversal of 414348 is 843414.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (414347) 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, 5640 + ... + 5712.

It is an arithmetic number, because the mean of its divisors is an integer number (22792).

2⁴¹⁴³⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547008).

414348 is an abundant number, since it is smaller than the sum of its proper divisors (679668).

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

414348 is a wasteful number, since it uses less digits than its factorization.

414348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 132 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 414348 is about 643.6986872753. The cubic root of 414348 is about 74.5512762025.

The spelling of 414348 in words is "four hundred fourteen thousand, three hundred forty-eight".