414568 has 32 divisors (see below), whose sum is σ = 970560. Its totient is φ = 161280.

The previous prime is 414559. The next prime is 414571. The reversal of 414568 is 865414.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

414568 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, 280 + ... + 952.

It is an arithmetic number, because the mean of its divisors is an integer number (30330).

2⁴¹⁴⁵⁶⁸ 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 414568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485280).

414568 is an abundant number, since it is smaller than the sum of its proper divisors (555992).

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

414568 is a wasteful number, since it uses less digits than its factorization.

414568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 693 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 414568 is about 643.8695520057. The cubic root of 414568 is about 74.5644683170.

The spelling of 414568 in words is "four hundred fourteen thousand, five hundred sixty-eight".