420786321 has 16 divisors (see below), whose sum is σ = 578950848. Its totient is φ = 271673600.

The previous prime is 420786319. The next prime is 420786337. The reversal of 420786321 is 123687024.

It is a cyclic number.

It is not a de Polignac number, because 420786321 - 2¹ = 420786319 is a prime.

It is a super-2 number, since 2×420786321² = 354122255881430082, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420786341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4366 + ... + 29336.

It is an arithmetic number, because the mean of its divisors is an integer number (36184428).

Almost surely, 2^420786321 is an apocalyptic number.

420786321 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

420786321 is a deficient number, since it is larger than the sum of its proper divisors (158164527).

420786321 is a wasteful number, since it uses less digits than its factorization.

420786321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25152.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 420786321 is about 20513.0768291839. The cubic root of 420786321 is about 749.3543011457.

The spelling of 420786321 in words is "four hundred twenty million, seven hundred eighty-six thousand, three hundred twenty-one".