355904 has 28 divisors (see below), whose sum is σ = 725424. Its totient is φ = 173184.

The previous prime is 355891. The next prime is 355909. The reversal of 355904 is 409553.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 355904.

It is not an unprimeable number, because it can be changed into a prime (355909) by changing a digit.

355904 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 3 ways as a sum of consecutive naturals, for example, 4247 + ... + 4329.

It is an arithmetic number, because the mean of its divisors is an integer number (25908).

2³⁵⁵⁹⁰⁴ 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 355904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362712).

355904 is an abundant number, since it is smaller than the sum of its proper divisors (369520).

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

355904 is an equidigital number, since it uses as much as digits as its factorization.

355904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 355904 is about 596.5769020001. The cubic root of 355904 is about 70.8670393986.

The spelling of 355904 in words is "three hundred fifty-five thousand, nine hundred four".