414127002 has 32 divisors (see below), whose sum is σ = 873864000. Its totient is φ = 130474368.

The previous prime is 414126997. The next prime is 414127003. The reversal of 414127002 is 200721414.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 414127002.

It is not an unprimeable number, because it can be changed into a prime (414127003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48124 + ... + 56072.

It is an arithmetic number, because the mean of its divisors is an integer number (27308250).

Almost surely, 2^414127002 is an apocalyptic number.

414127002 is an abundant number, since it is smaller than the sum of its proper divisors (459736998).

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

414127002 is a wasteful number, since it uses less digits than its factorization.

414127002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8430.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 414127002 is about 20350.1106139500. The cubic root of 414127002 is about 745.3801954140.

Adding to 414127002 its reverse (200721414), we get a palindrome (614848416).

The spelling of 414127002 in words is "four hundred fourteen million, one hundred twenty-seven thousand, two".