521983040 has 56 divisors (see below), whose sum is σ = 1246510080. Its totient is φ = 208199168.

The previous prime is 521983037. The next prime is 521983109. The reversal of 521983040 is 40389125.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 521982988 and 521983006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120431 + ... + 124689.

Almost surely, 2^521983040 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 521983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623255040).

521983040 is an abundant number, since it is smaller than the sum of its proper divisors (724527040).

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

521983040 is a wasteful number, since it uses less digits than its factorization.

521983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 521983040 is about 22846.9481550600. The cubic root of 521983040 is about 805.1660678694.

The spelling of 521983040 in words is "five hundred twenty-one million, nine hundred eighty-three thousand, forty".