420742144 has 33 divisors (see below), whose sum is σ = 842387581. Its totient is φ = 210042880.

The previous prime is 420742139. The next prime is 420742169. The reversal of 420742144 is 441247024.

The square root of 420742144 is 20512.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 379782144 + 40960000 = 19488^2 + 6400^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 656064 + ... + 656704.

Almost surely, 2^420742144 is an apocalyptic number.

420742144 is the 20512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420742144

420742144 is an abundant number, since it is smaller than the sum of its proper divisors (421645437).

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

420742144 is an frugal number, since it uses more digits than its factorization.

420742144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

The cubic root of 420742144 is about 749.3280761301.

Adding to 420742144 its reverse (441247024), we get a palindrome (861989168).

The spelling of 420742144 in words is "four hundred twenty million, seven hundred forty-two thousand, one hundred forty-four".