532847952 has 360 divisors, whose sum is σ = 1930850376. Its totient is φ = 135862272.

The previous prime is 532847941. The next prime is 532847957. The reversal of 532847952 is 259748235.

It can be written as a sum of positive squares in 4 ways, for example, as 52186176 + 480661776 = 7224^2 + 21924^2 .

532847952 is a modest number, since divided by 47952 gives 5328 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 532847898 and 532847907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532847957) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3393858 + ... + 3394014.

Almost surely, 2^532847952 is an apocalyptic number.

532847952 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532847952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965425188).

532847952 is an abundant number, since it is smaller than the sum of its proper divisors (1398002424).

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

532847952 is a wasteful number, since it uses less digits than its factorization.

532847952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 219 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 532847952 is about 23083.4995613750. The cubic root of 532847952 is about 810.7141757971.

It can be divided in two parts, 5328 and 47952, that multiplied together give a square (255488256 = 15984²).

The spelling of 532847952 in words is "five hundred thirty-two million, eight hundred forty-seven thousand, nine hundred fifty-two".