352488 has 32 divisors (see below), whose sum is σ = 928800. Its totient is φ = 111168.

The previous prime is 352483. The next prime is 352489. The reversal of 352488 is 884253.

It is a d-powerful number, because it can be written as 3⁹ + 5 + 4⁵ + 2¹⁶ + 8⁴ + 8⁶ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 352488.

It is not an unprimeable number, because it can be changed into a prime (352481) by changing a digit.

352488 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 7 ways as a sum of consecutive naturals, for example, 70 + ... + 842.

It is an arithmetic number, because the mean of its divisors is an integer number (29025).

2³⁵²⁴⁸⁸ is an apocalyptic number.

352488 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464400).

352488 is an abundant number, since it is smaller than the sum of its proper divisors (576312).

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

352488 is a wasteful number, since it uses less digits than its factorization.

352488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 797 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 352488 is about 593.7069984428. The cubic root of 352488 is about 70.6395806166.

It can be divided in two parts, 3 and 52488, that multiplied together give a cube (157464 = 54³).

The spelling of 352488 in words is "three hundred fifty-two thousand, four hundred eighty-eight".