420800 has 42 divisors (see below), whose sum is σ = 1039368. Its totient is φ = 167680.

The previous prime is 420799. The next prime is 420803. The reversal of 420800 is 8024.

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 420800.

It is not an unprimeable number, because it can be changed into a prime (420803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1469 + ... + 1731.

2⁴²⁰⁸⁰⁰ is an apocalyptic number.

420800 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 420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519684).

420800 is an abundant number, since it is smaller than the sum of its proper divisors (618568).

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

420800 is a wasteful number, since it uses less digits than its factorization.

420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 420800 is about 648.6909896091. The cubic root of 420800 is about 74.9362421107.

Adding to 420800 its reverse (8024), we get a palindrome (428824).

The spelling of 420800 in words is "four hundred twenty thousand, eight hundred".