352144960 has 56 divisors (see below), whose sum is σ = 843524856. Its totient is φ = 140021760.

The previous prime is 352144957. The next prime is 352145011. The reversal of 352144960 is 69441253.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 60964864 + 291180096 = 7808^2 + 17064^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52180 + ... + 58540.

Almost surely, 2^352144960 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 352144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421762428).

352144960 is an abundant number, since it is smaller than the sum of its proper divisors (491379896).

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

352144960 is a wasteful number, since it uses less digits than its factorization.

352144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6551 (or 6541 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 352144960 is about 18765.5258386223. The cubic root of 352144960 is about 706.1665778721.

The spelling of 352144960 in words is "three hundred fifty-two million, one hundred forty-four thousand, nine hundred sixty".