420144 has 20 divisors (see below), whose sum is σ = 1085496. Its totient is φ = 140032.

The previous prime is 420103. The next prime is 420149. The reversal of 420144 is 441024.

420144 = T₂₀₇ + T₂₀₈ + ... + T₂₂₄.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420144.

It is not an unprimeable number, because it can be changed into a prime (420149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4329 + ... + 4424.

2⁴²⁰¹⁴⁴ is an apocalyptic number.

It is an amenable number.

420144 is an abundant number, since it is smaller than the sum of its proper divisors (665352).

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

420144 is a wasteful number, since it uses less digits than its factorization.

420144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8764 (or 8758 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 420144 is about 648.1851587317. The cubic root of 420144 is about 74.8972816055.

Adding to 420144 its reverse (441024), we get a palindrome (861168).

The spelling of 420144 in words is "four hundred twenty thousand, one hundred forty-four", and thus it is an iban number.