356352 has 52 divisors (see below), whose sum is σ = 982920. Its totient is φ = 114688.

The previous prime is 356351. The next prime is 356387. The reversal of 356352 is 253653.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 3¹¹ + 5³ + 3¹¹ + 6⁴ + 5³ + 2⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (356351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12274 + ... + 12302.

2³⁵⁶³⁵² is an apocalyptic number.

356352 is a gapful number since it is divisible by the number (32) 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 356352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491460).

356352 is an abundant number, since it is smaller than the sum of its proper divisors (626568).

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

356352 is an equidigital number, since it uses as much as digits as its factorization.

356352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 34 counting only the distinct ones).

The product of its digits is 2700, while the sum is 24.

The square root of 356352 is about 596.9522593977. The cubic root of 356352 is about 70.8967619471.

The spelling of 356352 in words is "three hundred fifty-six thousand, three hundred fifty-two".