532344960 has 448 divisors, whose sum is σ = 2194044480. Its totient is φ = 120932352.

The previous prime is 532344941. The next prime is 532344973. The reversal of 532344960 is 69443235.

532344960 is a `hidden beast` number, since 532 + 34 + 4 + 96 + 0 = 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 an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3265839 + ... + 3266001.

Almost surely, 2^532344960 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 532344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097022240).

532344960 is an abundant number, since it is smaller than the sum of its proper divisors (1661699520).

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

532344960 is an equidigital number, since it uses as much as digits as its factorization.

532344960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 532344960 is about 23072.6019338955. The cubic root of 532344960 is about 810.4589991111.

The spelling of 532344960 in words is "five hundred thirty-two million, three hundred forty-four thousand, nine hundred sixty".