524020320 has 192 divisors, whose sum is σ = 1853772480. Its totient is φ = 138240000.

The previous prime is 524020297. The next prime is 524020331. The reversal of 524020320 is 23020425.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 524020293 and 524020302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435720 + ... + 436920.

It is an arithmetic number, because the mean of its divisors is an integer number (9655065).

Almost surely, 2^524020320 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 524020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926886240).

524020320 is an abundant number, since it is smaller than the sum of its proper divisors (1329752160).

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

524020320 is a wasteful number, since it uses less digits than its factorization.

524020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 524020320 is about 22891.4901218772. The cubic root of 524020320 is about 806.2122188894.

Adding to 524020320 its reverse (23020425), we get a palindrome (547040745).

The spelling of 524020320 in words is "five hundred twenty-four million, twenty thousand, three hundred twenty".