352688401 has 8 divisors (see below), whose sum is σ = 392915880. Its totient is φ = 314332032.

The previous prime is 352688389. The next prime is 352688407. The reversal of 352688401 is 104886253.

It is a happy number.

It is a Cunningham number, because it is equal to 18780²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 352688400 = 1^2 + 18780^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 352688401 - 2¹¹ = 352686353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (352688407) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 467380 + ... + 468133.

It is an arithmetic number, because the mean of its divisors is an integer number (49114485).

Almost surely, 2^352688401 is an apocalyptic number.

It is an amenable number.

352688401 is a deficient number, since it is larger than the sum of its proper divisors (40227479).

352688401 is a wasteful number, since it uses less digits than its factorization.

352688401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935555.

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 352688401 is about 18780.0000266241. Note that the first 4 decimals coincide. The cubic root of 352688401 is about 706.5296505399.

The spelling of 352688401 in words is "three hundred fifty-two million, six hundred eighty-eight thousand, four hundred one".