420912 has 60 divisors (see below), whose sum is σ = 1225120. Its totient is φ = 134784.

The previous prime is 420899. The next prime is 420919. The reversal of 420912 is 219024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (420919) by changing a digit.

420912 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5289 + ... + 5367.

2⁴²⁰⁹¹² 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 420912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612560).

420912 is an abundant number, since it is smaller than the sum of its proper divisors (804208).

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

420912 is a wasteful number, since it uses less digits than its factorization.

420912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 420912 is about 648.7773115638. Note that the first 3 decimals coincide. The cubic root of 420912 is about 74.9428898568.

Adding to 420912 its reverse (219024), we get a palindrome (639936).

The spelling of 420912 in words is "four hundred twenty thousand, nine hundred twelve".