531920480 has 288 divisors, whose sum is σ = 1672314336. Its totient is φ = 157925376.

The previous prime is 531920461. The next prime is 531920483. The reversal of 531920480 is 84029135.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531920483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1732487 + ... + 1732793.

It is an arithmetic number, because the mean of its divisors is an integer number (5806647).

Almost surely, 2^531920480 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 531920480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836157168).

531920480 is an abundant number, since it is smaller than the sum of its proper divisors (1140393856).

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

531920480 is a wasteful number, since it uses less digits than its factorization.

531920480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 351 counting only the distinct ones).

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

The square root of 531920480 is about 23063.4013103011. The cubic root of 531920480 is about 810.2435278527.

The spelling of 531920480 in words is "five hundred thirty-one million, nine hundred twenty thousand, four hundred eighty".