531652480 has 128 divisors (see below), whose sum is σ = 1328578560. Its totient is φ = 203212800.

The previous prime is 531652477. The next prime is 531652489. The reversal of 531652480 is 84256135.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531652489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2519575 + ... + 2519785.

It is an arithmetic number, because the mean of its divisors is an integer number (10379520).

Almost surely, 2^531652480 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 531652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664289280).

531652480 is an abundant number, since it is smaller than the sum of its proper divisors (796926080).

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

531652480 is a wasteful number, since it uses less digits than its factorization.

531652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 531652480 is about 23057.5905072495. The cubic root of 531652480 is about 810.1074287224.

The spelling of 531652480 in words is "five hundred thirty-one million, six hundred fifty-two thousand, four hundred eighty".