532980096 has 256 divisors, whose sum is σ = 1689120000. Its totient is φ = 147087360.

The previous prime is 532980061. The next prime is 532980103. The reversal of 532980096 is 690089235.

It is a super-3 number, since 3×532980096³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2327310 + ... + 2327538.

It is an arithmetic number, because the mean of its divisors is an integer number (6598125).

Almost surely, 2^532980096 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 532980096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844560000).

532980096 is an abundant number, since it is smaller than the sum of its proper divisors (1156139904).

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

532980096 is a wasteful number, since it uses less digits than its factorization.

532980096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 532980096 is about 23086.3616882349. The cubic root of 532980096 is about 810.7811881339.

The spelling of 532980096 in words is "five hundred thirty-two million, nine hundred eighty thousand, ninety-six".