414212013 has 12 divisors (see below), whose sum is σ = 609595740. Its totient is φ = 270930816.

The previous prime is 414212011. The next prime is 414212033. The reversal of 414212013 is 310212414.

414212013 is a `hidden beast` number, since 41 + 421 + 201 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 129345129 + 284866884 = 11373^2 + 16878^2 .

It is not a de Polignac number, because 414212013 - 2¹ = 414212011 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414212011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433708 + ... + 434661.

It is an arithmetic number, because the mean of its divisors is an integer number (50799645).

Almost surely, 2^414212013 is an apocalyptic number.

It is an amenable number.

414212013 is a deficient number, since it is larger than the sum of its proper divisors (195383727).

414212013 is a wasteful number, since it uses less digits than its factorization.

414212013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868428 (or 868425 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 414212013 is about 20352.1992177750. The cubic root of 414212013 is about 745.4311952121.

Adding to 414212013 its reverse (310212414), we get a palindrome (724424427).

It can be divided in two parts, 41421 and 2013, that added together give a palindrome (43434).

The spelling of 414212013 in words is "four hundred fourteen million, two hundred twelve thousand, thirteen".