532964880 has 320 divisors, whose sum is σ = 2124864000. Its totient is φ = 120268800.

The previous prime is 532964867. The next prime is 532964923. The reversal of 532964880 is 88469235.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1526946 + ... + 1527294.

It is an arithmetic number, because the mean of its divisors is an integer number (6640200).

Almost surely, 2^532964880 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 532964880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062432000).

532964880 is an abundant number, since it is smaller than the sum of its proper divisors (1591899120).

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

532964880 is a wasteful number, since it uses less digits than its factorization.

532964880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 532964880 is about 23086.0321406690. The cubic root of 532964880 is about 810.7734724211.

The spelling of 532964880 in words is "five hundred thirty-two million, nine hundred sixty-four thousand, eight hundred eighty".