414200002 has 48 divisors (see below), whose sum is σ = 686108160. Its totient is φ = 187379712.

The previous prime is 414199987. The next prime is 414200009. The reversal of 414200002 is 200002414.

It is not an unprimeable number, because it can be changed into a prime (414200009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2146018 + ... + 2146210.

It is an arithmetic number, because the mean of its divisors is an integer number (14293920).

Almost surely, 2^414200002 is an apocalyptic number.

414200002 is a deficient number, since it is larger than the sum of its proper divisors (271908158).

414200002 is a wasteful number, since it uses less digits than its factorization.

414200002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 414200002 is about 20351.9041369598. The cubic root of 414200002 is about 745.4239899965.

Adding to 414200002 its reverse (200002414), we get a palindrome (614202416).

It can be divided in two parts, 414 and 200002, that multiplied together give a palindrome (82800828).

The spelling of 414200002 in words is "four hundred fourteen million, two hundred thousand, two".