414768 has 20 divisors (see below), whose sum is σ = 1071608. Its totient is φ = 138240.

The previous prime is 414767. The next prime is 414769. The reversal of 414768 is 867414.

414768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (414767) and next prime (414769).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (414763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4273 + ... + 4368.

2⁴¹⁴⁷⁶⁸ is an apocalyptic number.

414768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

414768 is an abundant number, since it is smaller than the sum of its proper divisors (656840).

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

414768 is a wasteful number, since it uses less digits than its factorization.

414768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8652 (or 8646 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 414768 is about 644.0248442413. The cubic root of 414768 is about 74.5764570990.

The spelling of 414768 in words is "four hundred fourteen thousand, seven hundred sixty-eight".