414002 has 8 divisors (see below), whose sum is σ = 623916. Its totient is φ = 206032.

The previous prime is 413981. The next prime is 414013. The reversal of 414002 is 200414.

It can be written as a sum of positive squares in 2 ways, for example, as 346921 + 67081 = 589^2 + 259^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 308 + ... + 960.

2⁴¹⁴⁰⁰² is an apocalyptic number.

414002 is a deficient number, since it is larger than the sum of its proper divisors (209914).

414002 is a wasteful number, since it uses less digits than its factorization.

414002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972.

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 414002 is about 643.4298718586. The cubic root of 414002 is about 74.5305191538.

Adding to 414002 its reverse (200414), we get a palindrome (614416).

The spelling of 414002 in words is "four hundred fourteen thousand, two", and thus it is an iban number.