420310144 has 32 divisors (see below), whose sum is σ = 838684800. Its totient is φ = 209816832.

The previous prime is 420310141. The next prime is 420310151. The reversal of 420310144 is 441013024.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420310141) 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 3 ways as a sum of consecutive naturals, for example, 89749 + ... + 94315.

It is an arithmetic number, because the mean of its divisors is an integer number (26208900).

Almost surely, 2^420310144 is an apocalyptic number.

It is an amenable number.

420310144 is a deficient number, since it is larger than the sum of its proper divisors (418374656).

420310144 is an equidigital number, since it uses as much as digits as its factorization.

420310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5300 (or 5288 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 420310144 is about 20501.4668743483. The cubic root of 420310144 is about 749.0715289890.

Adding to 420310144 its reverse (441013024), we get a palindrome (861323168).

The spelling of 420310144 in words is "four hundred twenty million, three hundred ten thousand, one hundred forty-four".