420328257 has 12 divisors (see below), whose sum is σ = 566312976. Its totient is φ = 277311360.

The previous prime is 420328253. The next prime is 420328261. The reversal of 420328257 is 752823024.

It is an interprime number because it is at equal distance from previous prime (420328253) and next prime (420328261).

It is not a de Polignac number, because 420328257 - 2² = 420328253 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420328253) 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 11 ways as a sum of consecutive naturals, for example, 20782 + ... + 35672.

It is an arithmetic number, because the mean of its divisors is an integer number (47192748).

Almost surely, 2^420328257 is an apocalyptic number.

It is an amenable number.

420328257 is a deficient number, since it is larger than the sum of its proper divisors (145984719).

420328257 is an equidigital number, since it uses as much as digits as its factorization.

420328257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15088 (or 14991 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 420328257 is about 20501.9086184677. The cubic root of 420328257 is about 749.0822890891.

The spelling of 420328257 in words is "four hundred twenty million, three hundred twenty-eight thousand, two hundred fifty-seven".