359904 has 48 divisors (see below), whose sum is σ = 991872. Its totient is φ = 114048.

The previous prime is 359897. The next prime is 359911. The reversal of 359904 is 409953.

359904 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (359897) and next prime (359911).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

359904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2127 + ... + 2289.

It is an arithmetic number, because the mean of its divisors is an integer number (20664).

2³⁵⁹⁹⁰⁴ 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 359904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495936).

359904 is an abundant number, since it is smaller than the sum of its proper divisors (631968).

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

359904 is a wasteful number, since it uses less digits than its factorization.

359904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 359904 is about 599.9199946660. The cubic root of 359904 is about 71.1315421618.

The spelling of 359904 in words is "three hundred fifty-nine thousand, nine hundred four".