532284480 has 448 divisors, whose sum is σ = 2314529280. Its totient is φ = 112140288.

The previous prime is 532284463. The next prime is 532284481. The reversal of 532284480 is 84482235.

532284480 is a `hidden beast` number, since 532 + 2 + 8 + 44 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532284481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 785902 + ... + 786578.

It is an arithmetic number, because the mean of its divisors is an integer number (5166360).

Almost surely, 2^532284480 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 532284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157264640).

532284480 is an abundant number, since it is smaller than the sum of its proper divisors (1782244800).

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

532284480 is a wasteful number, since it uses less digits than its factorization.

532284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 532284480 is about 23071.2912512499. The cubic root of 532284480 is about 810.4283057197.

The spelling of 532284480 in words is "five hundred thirty-two million, two hundred eighty-four thousand, four hundred eighty".