355488 has 72 divisors (see below), whose sum is σ = 1114848. Its totient is φ = 97152.

The previous prime is 355483. The next prime is 355499. The reversal of 355488 is 884553.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (355483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15445 + ... + 15467.

It is an arithmetic number, because the mean of its divisors is an integer number (15484).

2³⁵⁵⁴⁸⁸ 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 355488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557424).

355488 is an abundant number, since it is smaller than the sum of its proper divisors (759360).

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

355488 is a wasteful number, since it uses less digits than its factorization.

355488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 35 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 355488 is about 596.2281442535. The cubic root of 355488 is about 70.8394175474.

It can be divided in two parts, 3 and 55488, that multiplied together give a square (166464 = 408²).

The spelling of 355488 in words is "three hundred fifty-five thousand, four hundred eighty-eight".