420120 has 64 divisors (see below), whose sum is σ = 1404000. Its totient is φ = 111744.

The previous prime is 420103. The next prime is 420149. The reversal of 420120 is 21024.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 420120.

It is an unprimeable number.

420120 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 15 ways as a sum of consecutive naturals, for example, 886 + ... + 1274.

2⁴²⁰¹²⁰ is an apocalyptic number.

420120 is a gapful number since it is divisible by the number (40) 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 420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702000).

420120 is an abundant number, since it is smaller than the sum of its proper divisors (983880).

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

420120 is a wasteful number, since it uses less digits than its factorization.

420120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 420120 is about 648.1666452387. The cubic root of 420120 is about 74.8958554524.

Adding to 420120 its reverse (21024), we get a palindrome (441144).

The spelling of 420120 in words is "four hundred twenty thousand, one hundred twenty", and thus it is an iban number.