520144000 has 256 divisors, whose sum is σ = 1432080000. Its totient is φ = 187084800.

The previous prime is 520143931. The next prime is 520144007. The reversal of 520144000 is 441025.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (520144007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8815971 + ... + 8816029.

Almost surely, 2^520144000 is an apocalyptic number.

520144000 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 520144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716040000).

520144000 is an abundant number, since it is smaller than the sum of its proper divisors (911936000).

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

520144000 is a wasteful number, since it uses less digits than its factorization.

520144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 520144000 is about 22806.6656922927. The cubic root of 520144000 is about 804.2193736502.

Adding to 520144000 its reverse (441025), we get a palindrome (520585025).

The spelling of 520144000 in words is "five hundred twenty million, one hundred forty-four thousand".