414191196 has 108 divisors (see below), whose sum is σ = 1132814592. Its totient is φ = 127153152.

The previous prime is 414191189. The next prime is 414191201. The reversal of 414191196 is 691191414.

414191196 = T₃₄₆ + T₃₄₇ + ... + T₁₃₆₁.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 414191196.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3261285 + ... + 3261411.

It is an arithmetic number, because the mean of its divisors is an integer number (10489024).

Almost surely, 2^414191196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414191196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566407296).

414191196 is an abundant number, since it is smaller than the sum of its proper divisors (718623396).

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

414191196 is a wasteful number, since it uses less digits than its factorization.

414191196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 222 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 414191196 is about 20351.6877924166. The cubic root of 414191196 is about 745.4187073229.

The spelling of 414191196 in words is "four hundred fourteen million, one hundred ninety-one thousand, one hundred ninety-six".