521316480 has 256 divisors, whose sum is σ = 1744934400. Its totient is φ = 132268032.

The previous prime is 521316473. The next prime is 521316503. The reversal of 521316480 is 84613125.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 4782666 + ... + 4782774.

It is an arithmetic number, because the mean of its divisors is an integer number (6816150).

Almost surely, 2^521316480 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 521316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872467200).

521316480 is an abundant number, since it is smaller than the sum of its proper divisors (1223617920).

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

521316480 is a wasteful number, since it uses less digits than its factorization.

521316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 521316480 is about 22832.3559888155. The cubic root of 521316480 is about 804.8231958712.

The spelling of 521316480 in words is "five hundred twenty-one million, three hundred sixteen thousand, four hundred eighty".