532984320 has 320 divisors, whose sum is σ = 2068260480. Its totient is φ = 129024000.

The previous prime is 532984307. The next prime is 532984327. The reversal of 532984320 is 23489235.

532984320 is a `hidden beast` number, since 5 + 329 + 8 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (532984327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759970 + ... + 760670.

It is an arithmetic number, because the mean of its divisors is an integer number (6463314).

Almost surely, 2^532984320 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 532984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034130240).

532984320 is an abundant number, since it is smaller than the sum of its proper divisors (1535276160).

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

532984320 is a wasteful number, since it uses less digits than its factorization.

532984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 532984320 is about 23086.4531706367. The cubic root of 532984320 is about 810.7833300091.

The spelling of 532984320 in words is "five hundred thirty-two million, nine hundred eighty-four thousand, three hundred twenty".