20200420 has 96 divisors (see below), whose sum is σ = 48988800. Its totient is φ = 6948864.

The previous prime is 20200393. The next prime is 20200429. The reversal of 20200420 is 2400202.

20200420 = T₁₄₅ + T₁₄₆ + ... + T₄₉₈.

It is a happy number.

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 = 20200397 and 20200406.

It is not an unprimeable number, because it can be changed into a prime (20200429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342351 + ... + 342409.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 2^20200420 is an apocalyptic number.

20200420 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 20200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24494400).

20200420 is an abundant number, since it is smaller than the sum of its proper divisors (28788380).

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

20200420 is a wasteful number, since it uses less digits than its factorization.

20200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 155 counting only the distinct ones).

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

The square root of 20200420 is about 4494.4877349927. The cubic root of 20200420 is about 272.3454556735.

Adding to 20200420 its reverse (2400202), we get a palindrome (22600622).

The spelling of 20200420 in words is "twenty million, two hundred thousand, four hundred twenty".