414124302252 has 72 divisors (see below), whose sum is σ = 1025523374400. Its totient is φ = 130045259232.

The previous prime is 414124302227. The next prime is 414124302257. The reversal of 414124302252 is 252203421414.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (414124302257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508399 + ... + 1042457.

It is an arithmetic number, because the mean of its divisors is an integer number (14243380200).

Almost surely, 2^414124302252 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 414124302252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512761687200).

414124302252 is an abundant number, since it is smaller than the sum of its proper divisors (611399072148).

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

414124302252 is a wasteful number, since it uses less digits than its factorization.

414124302252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534283 (or 534262 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 414124302252 its reverse (252203421414), we get a palindrome (666327723666).

The spelling of 414124302252 in words is "four hundred fourteen billion, one hundred twenty-four million, three hundred two thousand, two hundred fifty-two".