419334272 has 96 divisors (see below), whose sum is σ = 988551360. Its totient is φ = 173560320.

The previous prime is 419334271. The next prime is 419334281. The reversal of 419334272 is 272433914.

It is not an unprimeable number, because it can be changed into a prime (419334271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 860813 + ... + 861299.

It is an arithmetic number, because the mean of its divisors is an integer number (10297410).

Almost surely, 2^419334272 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 419334272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494275680).

419334272 is an abundant number, since it is smaller than the sum of its proper divisors (569217088).

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

419334272 is an equidigital number, since it uses as much as digits as its factorization.

419334272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 527 counting only the distinct ones).

The product of its digits is 36288, while the sum is 35.

The square root of 419334272 is about 20477.6529905163. The cubic root of 419334272 is about 748.4913507454.

The spelling of 419334272 in words is "four hundred nineteen million, three hundred thirty-four thousand, two hundred seventy-two".