352820480 has 36 divisors (see below), whose sum is σ = 845118372. Its totient is φ = 141127680.

The previous prime is 352820453. The next prime is 352820491. The reversal of 352820480 is 84028253.

It can be written as a sum of positive squares in 2 ways, for example, as 280093696 + 72726784 = 16736^2 + 8528^2 .

It is a super-2 number, since 2×352820480² = 248964582214860800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable 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 in 3 ways as a sum of consecutive naturals, for example, 136541 + ... + 139100.

Almost surely, 2^352820480 is an apocalyptic number.

It is an amenable number.

352820480 is an abundant number, since it is smaller than the sum of its proper divisors (492297892).

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

352820480 is an equidigital number, since it uses as much as digits as its factorization.

352820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275662 (or 275648 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 352820480 is about 18783.5161777554. The cubic root of 352820480 is about 706.6178361101.

The spelling of 352820480 in words is "three hundred fifty-two million, eight hundred twenty thousand, four hundred eighty".