420000 has 120 divisors (see below), whose sum is σ = 1574496. Its totient is φ = 96000.

The previous prime is 419999. The next prime is 420001. The reversal of 420000 is 24.

It is an interprime number because it is at equal distance from previous prime (419999) and next prime (420001).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (420001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59997 + ... + 60003.

2⁴²⁰⁰⁰⁰ is an apocalyptic number.

420000 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 420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787248).

420000 is an abundant number, since it is smaller than the sum of its proper divisors (1154496).

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

420000 is an equidigital number, since it uses as much as digits as its factorization.

420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 420000 is about 648.0740698408. The cubic root of 420000 is about 74.8887238722. Note that the first 3 decimals are identical.

Adding to 420000 its reverse (24), we get a palindrome (420024).

The spelling of 420000 in words is "four hundred twenty thousand", and thus it is an iban number.