414468 has 36 divisors (see below), whose sum is σ = 1086540. Its totient is φ = 133056.

The previous prime is 414467. The next prime is 414487. The reversal of 414468 is 864414.

It can be written as a sum of positive squares in 2 ways, for example, as 248004 + 166464 = 498^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414461) 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 11 ways as a sum of consecutive naturals, for example, 846 + ... + 1242.

2⁴¹⁴⁴⁶⁸ 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 414468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543270).

414468 is an abundant number, since it is smaller than the sum of its proper divisors (672072).

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

414468 is a wasteful number, since it uses less digits than its factorization.

414468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 431 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 414468 is about 643.7918918408. The cubic root of 414468 is about 74.5584724800.

The spelling of 414468 in words is "four hundred fourteen thousand, four hundred sixty-eight".