414160 has 40 divisors (see below), whose sum is σ = 999936. Its totient is φ = 159360.

The previous prime is 414157. The next prime is 414179. The reversal of 414160 is 61414.

It is a happy number.

414160 is nontrivially palindromic in base 9.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2397 + ... + 2563.

2⁴¹⁴¹⁶⁰ is an apocalyptic number.

414160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968).

414160 is an abundant number, since it is smaller than the sum of its proper divisors (585776).

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

414160 is a wasteful number, since it uses less digits than its factorization.

414160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 414160 is about 643.5526396496. The cubic root of 414160 is about 74.5399992402.

Adding to 414160 its reverse (61414), we get a palindrome (475574).

The spelling of 414160 in words is "four hundred fourteen thousand, one hundred sixty".