521988480 has 192 divisors, whose sum is σ = 1941423120. Its totient is φ = 128471040.

The previous prime is 521988457. The next prime is 521988497. The reversal of 521988480 is 84889125.

It is a happy number.

521988480 is a `hidden beast` number, since 521 + 9 + 88 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71395 + ... + 78365.

Almost surely, 2^521988480 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 521988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970711560).

521988480 is an abundant number, since it is smaller than the sum of its proper divisors (1419434640).

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

521988480 is a wasteful number, since it uses less digits than its factorization.

521988480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7009 (or 6994 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 521988480 is about 22847.0672078497. The cubic root of 521988480 is about 805.1688649515.

The spelling of 521988480 in words is "five hundred twenty-one million, nine hundred eighty-eight thousand, four hundred eighty".