352000 has 72 divisors (see below), whose sum is σ = 956592. Its totient is φ = 128000.

The previous prime is 351991. The next prime is 352007. The reversal of 352000 is 253.

352000 = 10³ + 11³ + ... + 34³.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31995 + ... + 32005.

It is an arithmetic number, because the mean of its divisors is an integer number (13286).

2³⁵²⁰⁰⁰ 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 352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478296).

352000 is an abundant number, since it is smaller than the sum of its proper divisors (604592).

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

352000 is an equidigital number, since it uses as much as digits as its factorization.

352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 352000 is about 593.2958789677. The cubic root of 352000 is about 70.6069667065.

Adding to 352000 its reverse (253), we get a palindrome (352253).

It can be divided in two parts, 3 and 52000, that added together give a triangular number (52003 = T₃₂₂).

The spelling of 352000 in words is "three hundred fifty-two thousand".