420288 has 56 divisors (see below), whose sum is σ = 1219200. Its totient is φ = 126720.

The previous prime is 420271. The next prime is 420293. The reversal of 420288 is 882024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420288.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2013 + ... + 2211.

2⁴²⁰²⁸⁸ is an apocalyptic number.

420288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609600).

420288 is an abundant number, since it is smaller than the sum of its proper divisors (798912).

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

420288 is a wasteful number, since it uses less digits than its factorization.

420288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 420288 is about 648.2962285869. The cubic root of 420288 is about 74.9058373837.

The spelling of 420288 in words is "four hundred twenty thousand, two hundred eighty-eight".