420852321 has 32 divisors (see below), whose sum is σ = 673056000. Its totient is φ = 259104384.

The previous prime is 420852301. The next prime is 420852329. The reversal of 420852321 is 123258024.

420852321 is a `hidden beast` number, since 420 + 8 + 5 + 232 + 1 = 666.

It is not a de Polignac number, because 420852321 - 2⁷ = 420852193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (420852329) 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 31 ways as a sum of consecutive naturals, for example, 6325 + ... + 29693.

It is an arithmetic number, because the mean of its divisors is an integer number (21033000).

Almost surely, 2^420852321 is an apocalyptic number.

It is an amenable number.

420852321 is a deficient number, since it is larger than the sum of its proper divisors (252203679).

420852321 is a wasteful number, since it uses less digits than its factorization.

420852321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23430 (or 23424 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 420852321 is about 20514.6854960051. The cubic root of 420852321 is about 749.3934776397.

The spelling of 420852321 in words is "four hundred twenty million, eight hundred fifty-two thousand, three hundred twenty-one".