352890 has 32 divisors (see below), whose sum is σ = 941760. Its totient is φ = 94032.

The previous prime is 352883. The next prime is 352907. The reversal of 352890 is 98253.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

352890 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 15 ways as a sum of consecutive naturals, for example, 384 + ... + 923.

It is an arithmetic number, because the mean of its divisors is an integer number (29430).

2³⁵²⁸⁹⁰ is an apocalyptic number.

352890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

352890 is an abundant number, since it is smaller than the sum of its proper divisors (588870).

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

352890 is a wasteful number, since it uses less digits than its factorization.

352890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 352890 is about 594.0454528064. The cubic root of 352890 is about 70.6664243890. Note that the first 3 decimals are identical.

The spelling of 352890 in words is "three hundred fifty-two thousand, eight hundred ninety".