501200420 has 72 divisors (see below), whose sum is σ = 1234308096. Its totient is φ = 170444736.

The previous prime is 501200393. The next prime is 501200423. The reversal of 501200420 is 24002105.

It is a super-2 number, since 2×501200420² = 502403722016352800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 501200395 and 501200404.

It is not an unprimeable number, because it can be changed into a prime (501200423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122447 + ... + 126473.

It is an arithmetic number, because the mean of its divisors is an integer number (17143168).

Almost surely, 2^501200420 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 501200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617154048).

501200420 is an abundant number, since it is smaller than the sum of its proper divisors (733107676).

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

501200420 is a wasteful number, since it uses less digits than its factorization.

501200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4177 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 501200420 is about 22387.5058905632. The cubic root of 501200420 is about 794.3352009940.

Adding to 501200420 its reverse (24002105), we get a palindrome (525202525).

The spelling of 501200420 in words is "five hundred one million, two hundred thousand, four hundred twenty".