520220400 has 240 divisors, whose sum is σ = 2017085184. Its totient is φ = 111882240.

The previous prime is 520220381. The next prime is 520220401. The reversal of 520220400 is 4022025.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 520220400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520220401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140979 + ... + 144621.

Almost surely, 2^520220400 is an apocalyptic number.

520220400 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 520220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008542592).

520220400 is an abundant number, since it is smaller than the sum of its proper divisors (1496864784).

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

520220400 is a wasteful number, since it uses less digits than its factorization.

520220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 520220400 is about 22808.3405797090. The cubic root of 520220400 is about 804.2587469469.

Adding to 520220400 its reverse (4022025), we get a palindrome (524242425).

The spelling of 520220400 in words is "five hundred twenty million, two hundred twenty thousand, four hundred".