421920 has 72 divisors (see below), whose sum is σ = 1444716. Its totient is φ = 112128.

The previous prime is 421913. The next prime is 421943. The reversal of 421920 is 29124.

It can be written as a sum of positive squares in 2 ways, for example, as 404496 + 17424 = 636^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 421893 and 421902.

It is an unprimeable number.

421920 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, 1294 + ... + 1586.

2⁴²¹⁹²⁰ is an apocalyptic number.

421920 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 421920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722358).

421920 is an abundant number, since it is smaller than the sum of its proper divisors (1022796).

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

421920 is a wasteful number, since it uses less digits than its factorization.

421920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 303 counting only the distinct ones).

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

The square root of 421920 is about 649.5536929308. The cubic root of 421920 is about 75.0026665719.

The spelling of 421920 in words is "four hundred twenty-one thousand, nine hundred twenty".