52005420 has 72 divisors (see below), whose sum is σ = 158427360. Its totient is φ = 13808640.

The previous prime is 52005409. The next prime is 52005433. The reversal of 52005420 is 2450025.

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

52005420 is a modest number, since divided by 5420 gives 520 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 52005393 and 52005402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55516 + ... + 56444.

It is an arithmetic number, because the mean of its divisors is an integer number (2200380).

Almost surely, 2^52005420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52005420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79213680).

52005420 is an abundant number, since it is smaller than the sum of its proper divisors (106421940).

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

52005420 is a wasteful number, since it uses less digits than its factorization.

52005420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 52005420 is about 7211.4783505187. The cubic root of 52005420 is about 373.2640833148.

Adding to 52005420 its reverse (2450025), we get a palindrome (54455445).

It can be divided in two parts, 52005 and 420, that added together give a palindrome (52425).

The spelling of 52005420 in words is "fifty-two million, five thousand, four hundred twenty".