352390400 has 54 divisors (see below), whose sum is σ = 872237142. Its totient is φ = 140953600.

The previous prime is 352390373. The next prime is 352390403. The reversal of 352390400 is 4093253.

It can be written as a sum of positive squares in 3 ways, for example, as 18524416 + 333865984 = 4304^2 + 18272^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 352390400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352390403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21131 + ... + 33930.

Almost surely, 2^352390400 is an apocalyptic number.

It is an amenable number.

352390400 is an abundant number, since it is smaller than the sum of its proper divisors (519846742).

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

352390400 is an equidigital number, since it uses as much as digits as its factorization.

352390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55087 (or 55068 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 352390400 is about 18772.0643510510. The cubic root of 352390400 is about 706.3306024383.

The spelling of 352390400 in words is "three hundred fifty-two million, three hundred ninety thousand, four hundred".