414120516 has 12 divisors (see below), whose sum is σ = 966281232. Its totient is φ = 138040168.

The previous prime is 414120491. The next prime is 414120517. The reversal of 414120516 is 615021414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (414120517) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17255010 + ... + 17255033.

It is an arithmetic number, because the mean of its divisors is an integer number (80523436).

Almost surely, 2^414120516 is an apocalyptic number.

It is an amenable number.

414120516 is an abundant number, since it is smaller than the sum of its proper divisors (552160716).

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

414120516 is a wasteful number, since it uses less digits than its factorization.

414120516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34510050 (or 34510048 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 414120516 is about 20349.9512530129. The cubic root of 414120516 is about 745.3763040464.

The spelling of 414120516 in words is "four hundred fourteen million, one hundred twenty thousand, five hundred sixteen".