414145816 has 32 divisors (see below), whose sum is σ = 904206240. Its totient is φ = 174140928.

The previous prime is 414145801. The next prime is 414145817. The reversal of 414145816 is 618541414.

It is a happy number.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414145817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66801 + ... + 72736.

It is an arithmetic number, because the mean of its divisors is an integer number (28256445).

Almost surely, 2^414145816 is an apocalyptic number.

It is an amenable number.

414145816 is an abundant number, since it is smaller than the sum of its proper divisors (490060424).

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

414145816 is a wasteful number, since it uses less digits than its factorization.

414145816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139603 (or 139599 counting only the distinct ones).

The product of its digits is 15360, while the sum is 34.

The square root of 414145816 is about 20350.5728666296. The cubic root of 414145816 is about 745.3914829100.

The spelling of 414145816 in words is "four hundred fourteen million, one hundred forty-five thousand, eight hundred sixteen".