414243192 has 128 divisors (see below), whose sum is σ = 1189209600. Its totient is φ = 119078400.

The previous prime is 414243191. The next prime is 414243211. The reversal of 414243192 is 291342414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414243191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466573 + ... + 467459.

It is an arithmetic number, because the mean of its divisors is an integer number (9290700).

Almost surely, 2^414243192 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 414243192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594604800).

414243192 is an abundant number, since it is smaller than the sum of its proper divisors (774966408).

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

414243192 is a wasteful number, since it uses less digits than its factorization.

414243192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 993 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 414243192 is about 20352.9651893772. The cubic root of 414243192 is about 745.4498983684.

The spelling of 414243192 in words is "four hundred fourteen million, two hundred forty-three thousand, one hundred ninety-two".