520442000 has 160 divisors (see below), whose sum is σ = 1394431584. Its totient is φ = 186624000.

The previous prime is 520441979. The next prime is 520442003. The reversal of 520442000 is 244025.

It can be written as a sum of positive squares in 16 ways, for example, as 376825744 + 143616256 = 19412^2 + 11984^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 520442000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520442003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 961730 + ... + 962270.

Almost surely, 2^520442000 is an apocalyptic number.

520442000 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 520442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697215792).

520442000 is an abundant number, since it is smaller than the sum of its proper divisors (873989584).

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

520442000 is a wasteful number, since it uses less digits than its factorization.

520442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 520442000 is about 22813.1979345290. The cubic root of 520442000 is about 804.3729283196.

Adding to 520442000 its reverse (244025), we get a palindrome (520686025).

The spelling of 520442000 in words is "five hundred twenty million, four hundred forty-two thousand".