355264 has 56 divisors (see below), whose sum is σ = 881888. Its totient is φ = 138240.

The previous prime is 355261. The next prime is 355297. The reversal of 355264 is 462553.

It is a tau number, because it is divible by the number of its divisors (56).

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 (355261) 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, 5794 + ... + 5854.

It is an arithmetic number, because the mean of its divisors is an integer number (15748).

2³⁵⁵²⁶⁴ 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 355264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440944).

355264 is an abundant number, since it is smaller than the sum of its proper divisors (526624).

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

355264 is a wasteful number, since it uses less digits than its factorization.

355264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 83 counting only the distinct ones).

The product of its digits is 3600, while the sum is 25.

The square root of 355264 is about 596.0402670961. The cubic root of 355264 is about 70.8245353163.

The spelling of 355264 in words is "three hundred fifty-five thousand, two hundred sixty-four".