352313406 has 48 divisors (see below), whose sum is σ = 810810000. Its totient is φ = 110179584.

The previous prime is 352313399. The next prime is 352313411. The reversal of 352313406 is 604313253.

It is a happy number.

352313406 is a `hidden beast` number, since 3 + 523 + 134 + 0 + 6 = 666.

352313406 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 352313406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105145 + ... + 108443.

It is an arithmetic number, because the mean of its divisors is an integer number (16891875).

Almost surely, 2^352313406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352313406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405405000).

352313406 is an abundant number, since it is smaller than the sum of its proper divisors (458496594).

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

352313406 is a wasteful number, since it uses less digits than its factorization.

352313406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 352313406 is about 18770.0134789509. The cubic root of 352313406 is about 706.2791564855.

Adding to 352313406 its reverse (604313253), we get a palindrome (956626659).

It can be divided in two parts, 35 and 2313406, that added together give a 4-th power (2313441 = 39⁴).

The spelling of 352313406 in words is "three hundred fifty-two million, three hundred thirteen thousand, four hundred six".