420840144 has 40 divisors (see below), whose sum is σ = 1207968320. Its totient is φ = 140279904.

The previous prime is 420840107. The next prime is 420840157. The reversal of 420840144 is 441048024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 486652 + ... + 487515.

It is an arithmetic number, because the mean of its divisors is an integer number (30199208).

Almost surely, 2^420840144 is an apocalyptic number.

It is an amenable number.

420840144 is an abundant number, since it is smaller than the sum of its proper divisors (787128176).

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

420840144 is a wasteful number, since it uses less digits than its factorization.

420840144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974184 (or 974172 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 420840144 is about 20514.3887064665. The cubic root of 420840144 is about 749.3862498847.

Adding to 420840144 its reverse (441048024), we get a palindrome (861888168).

The spelling of 420840144 in words is "four hundred twenty million, eight hundred forty thousand, one hundred forty-four".