359952 has 20 divisors (see below), whose sum is σ = 930000. Its totient is φ = 119968.

The previous prime is 359929. The next prime is 359981. The reversal of 359952 is 259953.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3702 + ... + 3797.

It is an arithmetic number, because the mean of its divisors is an integer number (46500).

2³⁵⁹⁹⁵² is an apocalyptic number.

It is an amenable number.

359952 is an abundant number, since it is smaller than the sum of its proper divisors (570048).

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

359952 is a wasteful number, since it uses less digits than its factorization.

359952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7510 (or 7504 counting only the distinct ones).

The product of its digits is 12150, while the sum is 33.

The square root of 359952 is about 599.9599986666. The cubic root of 359952 is about 71.1347042663.

Subtracting from 359952 its reverse (259953), we obtain a palindrome (99999).

The spelling of 359952 in words is "three hundred fifty-nine thousand, nine hundred fifty-two".