352405305 has 72 divisors (see below), whose sum is σ = 720892224. Its totient is φ = 158760000.

The previous prime is 352405271. The next prime is 352405307. The reversal of 352405305 is 503504253.

352405305 is a `hidden beast` number, since 352 + 4 + 0 + 5 + 305 = 666.

It is not a de Polignac number, because 352405305 - 2¹³ = 352397113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (352405307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 155430 + ... + 157680.

It is an arithmetic number, because the mean of its divisors is an integer number (10012392).

Almost surely, 2^352405305 is an apocalyptic number.

352405305 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

352405305 is an abundant number, since it is smaller than the sum of its proper divisors (368486919).

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

352405305 is a wasteful number, since it uses less digits than its factorization.

352405305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 352405305 is about 18772.4613463445. The cubic root of 352405305 is about 706.3405608151.

Adding to 352405305 its reverse (503504253), we get a palindrome (855909558).

The spelling of 352405305 in words is "three hundred fifty-two million, four hundred five thousand, three hundred five".