414608 has 10 divisors (see below), whose sum is σ = 803334. Its totient is φ = 207296.

The previous prime is 414607. The next prime is 414611. The reversal of 414608 is 806414.

It is a happy number.

414608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 369664 + 44944 = 608^2 + 212^2 .

It is not an unprimeable number, because it can be changed into a prime (414607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12941 + ... + 12972.

2⁴¹⁴⁶⁰⁸ is an apocalyptic number.

It is an amenable number.

414608 is a deficient number, since it is larger than the sum of its proper divisors (388726).

414608 is a wasteful number, since it uses less digits than its factorization.

414608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25921 (or 25915 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 414608 is about 643.9006134490. The cubic root of 414608 is about 74.5668663818.

The spelling of 414608 in words is "four hundred fourteen thousand, six hundred eight".