521484480 has 560 divisors, whose sum is σ = 2124334080. Its totient is φ = 120268800.

The previous prime is 521484473. The next prime is 521484529. The reversal of 521484480 is 84484125.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 8838691 + ... + 8838749.

Almost surely, 2^521484480 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 521484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062167040).

521484480 is an abundant number, since it is smaller than the sum of its proper divisors (1602849600).

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

521484480 is a wasteful number, since it uses less digits than its factorization.

521484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 521484480 is about 22836.0346820546. The cubic root of 521484480 is about 804.9096409773.

The spelling of 521484480 in words is "five hundred twenty-one million, four hundred eighty-four thousand, four hundred eighty".