414214052 has 18 divisors (see below), whose sum is σ = 843221862. Its totient is φ = 177520224.

The previous prime is 414214039. The next prime is 414214057. The reversal of 414214052 is 250412414.

It can be written as a sum of positive squares in only one way, i.e., 371101696 + 43112356 = 19264^2 + 6566^2 .

It is not an unprimeable number, because it can be changed into a prime (414214057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1056473 + ... + 1056864.

It is an arithmetic number, because the mean of its divisors is an integer number (46845659).

Almost surely, 2^414214052 is an apocalyptic number.

It is an amenable number.

414214052 is an abundant number, since it is smaller than the sum of its proper divisors (429007810).

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

414214052 is a wasteful number, since it uses less digits than its factorization.

414214052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113355 (or 2113346 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 414214052 is about 20352.2493105799. The cubic root of 414214052 is about 745.4324183633.

Adding to 414214052 its reverse (250412414), we get a palindrome (664626466).

The spelling of 414214052 in words is "four hundred fourteen million, two hundred fourteen thousand, fifty-two".