414111620 has 24 divisors (see below), whose sum is σ = 936529944. Its totient is φ = 152902656.

The previous prime is 414111589. The next prime is 414111623. The reversal of 414111620 is 26111414.

It can be written as a sum of positive squares in 4 ways, for example, as 1290496 + 412821124 = 1136^2 + 20318^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 414111592 and 414111601.

It is not an unprimeable number, because it can be changed into a prime (414111623) 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, 796109 + ... + 796628.

It is an arithmetic number, because the mean of its divisors is an integer number (39022081).

Almost surely, 2^414111620 is an apocalyptic number.

It is an amenable number.

414111620 is an abundant number, since it is smaller than the sum of its proper divisors (522418324).

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

414111620 is a wasteful number, since it uses less digits than its factorization.

414111620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592759 (or 1592757 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 414111620 is about 20349.7326763769. The cubic root of 414111620 is about 745.3709666991.

The spelling of 414111620 in words is "four hundred fourteen million, one hundred eleven thousand, six hundred twenty".