414248 has 16 divisors (see below), whose sum is σ = 792180. Its totient is φ = 203008.

The previous prime is 414241. The next prime is 414259. The reversal of 414248 is 842414.

It can be written as a sum of positive squares in 2 ways, for example, as 357604 + 56644 = 598^2 + 238^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (414241) 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, 65 + ... + 912.

2⁴¹⁴²⁴⁸ is an apocalyptic number.

It is an amenable number.

414248 is a deficient number, since it is larger than the sum of its proper divisors (377932).

414248 is a wasteful number, since it uses less digits than its factorization.

414248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1032 counting only the distinct ones).

The product of its digits is 1024, while the sum is 23.

The square root of 414248 is about 643.6210064937. The cubic root of 414248 is about 74.5452782431.

The spelling of 414248 in words is "four hundred fourteen thousand, two hundred forty-eight".