414198072 has 96 divisors (see below), whose sum is σ = 1156690080. Its totient is φ = 133816320.

The previous prime is 414198067. The next prime is 414198073. The reversal of 414198072 is 270891414.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414198073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 569373 + ... + 570099.

It is an arithmetic number, because the mean of its divisors is an integer number (12048855).

Almost surely, 2^414198072 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 414198072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578345040).

414198072 is an abundant number, since it is smaller than the sum of its proper divisors (742492008).

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

414198072 is a wasteful number, since it uses less digits than its factorization.

414198072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 414198072 is about 20351.8567211938. The cubic root of 414198072 is about 745.4228322059.

The spelling of 414198072 in words is "four hundred fourteen million, one hundred ninety-eight thousand, seventy-two".