420322144 has 48 divisors (see below), whose sum is σ = 955853136. Its totient is φ = 179814400.

The previous prime is 420322139. The next prime is 420322153. The reversal of 420322144 is 441223024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 29137 + ... + 41104.

It is an arithmetic number, because the mean of its divisors is an integer number (19913607).

Almost surely, 2^420322144 is an apocalyptic number.

420322144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420322144 is an abundant number, since it is smaller than the sum of its proper divisors (535530992).

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

420322144 is a wasteful number, since it uses less digits than its factorization.

420322144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70279 (or 70271 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 420322144 is about 20501.7595342449. The cubic root of 420322144 is about 749.0786576716.

Adding to 420322144 its reverse (441223024), we get a palindrome (861545168).

The spelling of 420322144 in words is "four hundred twenty million, three hundred twenty-two thousand, one hundred forty-four".