360352 has 12 divisors (see below), whose sum is σ = 709506. Its totient is φ = 180160.

The previous prime is 360337. The next prime is 360391. The reversal of 360352 is 253063.

It can be written as a sum of positive squares in only one way, i.e., 197136 + 163216 = 444^2 + 404^2 .

It is a zygodrome in base 4.

It is an unprimeable number.

360352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5599 + ... + 5662.

2³⁶⁰³⁵² is an apocalyptic number.

360352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

360352 is a deficient number, since it is larger than the sum of its proper divisors (349154).

360352 is a wasteful number, since it uses less digits than its factorization.

360352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11271 (or 11263 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 360352 is about 600.2932616647. The cubic root of 360352 is about 71.1610442120.

It can be divided in two parts, 3603 and 52, that added together give a triangular number (3655 = T₈₅).

The spelling of 360352 in words is "three hundred sixty thousand, three hundred fifty-two".