414204030252 has 144 divisors (see below), whose sum is σ = 1121874455520. Its totient is φ = 128393109504.

The previous prime is 414204030211. The next prime is 414204030257. The reversal of 414204030252 is 252030402414.

414204030252 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 0 + 403 + 0 + 252 = 666.

It is not an unprimeable number, because it can be changed into a prime (414204030257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147770283 + ... + 147773085.

It is an arithmetic number, because the mean of its divisors is an integer number (7790794830).

Almost surely, 2^414204030252 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 414204030252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560937227760).

414204030252 is an abundant number, since it is smaller than the sum of its proper divisors (707670425268).

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

414204030252 is a wasteful number, since it uses less digits than its factorization.

414204030252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5632 (or 5627 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 414204030252 its reverse (252030402414), we get a palindrome (666234432666).

The spelling of 414204030252 in words is "four hundred fourteen billion, two hundred four million, thirty thousand, two hundred fifty-two".