501220400 has 120 divisors (see below), whose sum is σ = 1260585984. Its totient is φ = 191289600.

The previous prime is 501220373. The next prime is 501220411. The reversal of 501220400 is 4022105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1028957 + ... + 1029443.

Almost surely, 2^501220400 is an apocalyptic number.

501220400 is a gapful number since it is divisible by the number (50) 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 501220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630292992).

501220400 is an abundant number, since it is smaller than the sum of its proper divisors (759365584).

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

501220400 is a wasteful number, since it uses less digits than its factorization.

501220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 608 counting only the distinct ones).

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

The square root of 501220400 is about 22387.9521171544. The cubic root of 501220400 is about 794.3457560572.

Adding to 501220400 its reverse (4022105), we get a palindrome (505242505).

The spelling of 501220400 in words is "five hundred one million, two hundred twenty thousand, four hundred".