202420 has 24 divisors (see below), whose sum is σ = 441000. Its totient is φ = 77952.

The previous prime is 202409. The next prime is 202441. The reversal of 202420 is 24202.

It is a happy number.

202420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 39204 + 163216 = 198^2 + 404^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 202397 and 202406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 406 + ... + 754.

It is an arithmetic number, because the mean of its divisors is an integer number (18375).

2²⁰²⁴²⁰ is an apocalyptic number.

202420 is a gapful number since it is divisible by the number (20) 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 202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220500).

202420 is an abundant number, since it is smaller than the sum of its proper divisors (238580).

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

202420 is a wasteful number, since it uses less digits than its factorization.

202420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 202420 is about 449.9111023302. The cubic root of 202420 is about 58.7152805271.

Adding to 202420 its reverse (24202), we get a palindrome (226622).

It can be divided in two parts, 20 and 2420, that multiplied together give a square (48400 = 220²).

The spelling of 202420 in words is "two hundred two thousand, four hundred twenty", and thus it is an iban number.