419121252 has 72 divisors (see below), whose sum is σ = 1165443552. Its totient is φ = 126991920.

The previous prime is 419121139. The next prime is 419121257. The reversal of 419121252 is 252121914.

It is not an unprimeable number, because it can be changed into a prime (419121257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43543 + ... + 52289.

It is an arithmetic number, because the mean of its divisors is an integer number (16186716).

Almost surely, 2^419121252 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 419121252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582721776).

419121252 is an abundant number, since it is smaller than the sum of its proper divisors (746322300).

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

419121252 is a wasteful number, since it uses less digits than its factorization.

419121252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8790 (or 8763 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 419121252 is about 20472.4510501308. The cubic root of 419121252 is about 748.3645858193.

The spelling of 419121252 in words is "four hundred nineteen million, one hundred twenty-one thousand, two hundred fifty-two".