420328272 has 240 divisors, whose sum is σ = 1389286080. Its totient is φ = 108509184.

The previous prime is 420328267. The next prime is 420328277. The reversal of 420328272 is 272823024.

It is an interprime number because it is at equal distance from previous prime (420328267) and next prime (420328277).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420328277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1803868 + ... + 1804100.

It is an arithmetic number, because the mean of its divisors is an integer number (5788692).

Almost surely, 2^420328272 is an apocalyptic number.

420328272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420328272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694643040).

420328272 is an abundant number, since it is smaller than the sum of its proper divisors (968957808).

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

420328272 is a wasteful number, since it uses less digits than its factorization.

420328272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 420328272 is about 20501.9089842873. The cubic root of 420328272 is about 749.0822979998.

The spelling of 420328272 in words is "four hundred twenty million, three hundred twenty-eight thousand, two hundred seventy-two".