420486144 has 88 divisors (see below), whose sum is σ = 1207074960. Its totient is φ = 129368064.

The previous prime is 420486091. The next prime is 420486149. The reversal of 420486144 is 441684024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420486149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34672 + ... + 45200.

Almost surely, 2^420486144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603537480).

420486144 is an abundant number, since it is smaller than the sum of its proper divisors (786588816).

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

420486144 is a wasteful number, since it uses less digits than its factorization.

420486144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10565 (or 10547 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 420486144 is about 20505.7588008832. The cubic root of 420486144 is about 749.1760694048.

The spelling of 420486144 in words is "four hundred twenty million, four hundred eighty-six thousand, one hundred forty-four".