420567147 has 216 divisors, whose sum is σ = 911252160. Its totient is φ = 191056320.

The previous prime is 420567079. The next prime is 420567181. The reversal of 420567147 is 741765024.

It is not a de Polignac number, because 420567147 - 2¹⁰ = 420566123 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420567187) 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 215 ways as a sum of consecutive naturals, for example, 22135104 + ... + 22135122.

It is an arithmetic number, because the mean of its divisors is an integer number (4218760).

Almost surely, 2^420567147 is an apocalyptic number.

420567147 is an abundant number, since it is smaller than the sum of its proper divisors (490685013).

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

420567147 is a wasteful number, since it uses less digits than its factorization.

420567147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 420567147 is about 20507.7338338491. The cubic root of 420567147 is about 749.2241737349.

The spelling of 420567147 in words is "four hundred twenty million, five hundred sixty-seven thousand, one hundred forty-seven".