352302972 has 96 divisors (see below), whose sum is σ = 976195584. Its totient is φ = 96768000.

The previous prime is 352302971. The next prime is 352303001. The reversal of 352302972 is 279203253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352302971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502222 + ... + 502922.

It is an arithmetic number, because the mean of its divisors is an integer number (10168704).

Almost surely, 2^352302972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352302972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488097792).

352302972 is an abundant number, since it is smaller than the sum of its proper divisors (623892612).

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

352302972 is a wasteful number, since it uses less digits than its factorization.

352302972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 352302972 is about 18769.7355335657. The cubic root of 352302972 is about 706.2721841049.

The spelling of 352302972 in words is "three hundred fifty-two million, three hundred two thousand, nine hundred seventy-two".