352880 has 40 divisors (see below), whose sum is σ = 897264. Its totient is φ = 128000.

The previous prime is 352867. The next prime is 352883. The reversal of 352880 is 88253.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 352880.

It is not an unprimeable number, because it can be changed into a prime (352883) by changing a digit.

352880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 680 + ... + 1080.

2³⁵²⁸⁸⁰ 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 352880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448632).

352880 is an abundant number, since it is smaller than the sum of its proper divisors (544384).

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

352880 is a wasteful number, since it uses less digits than its factorization.

352880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 352880 is about 594.0370358824. The cubic root of 352880 is about 70.6657568808.

The spelling of 352880 in words is "three hundred fifty-two thousand, eight hundred eighty".