352283904 has 216 divisors, whose sum is σ = 1205305920. Its totient is φ = 100528128.

The previous prime is 352283839. The next prime is 352283947. The reversal of 352283904 is 409382253.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 435052 + ... + 435860.

It is an arithmetic number, because the mean of its divisors is an integer number (5580120).

Almost surely, 2^352283904 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 352283904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602652960).

352283904 is an abundant number, since it is smaller than the sum of its proper divisors (853022016).

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

352283904 is an frugal number, since it uses more digits than its factorization.

352283904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 352283904 is about 18769.2275813364. The cubic root of 352283904 is about 706.2594418139.

The spelling of 352283904 in words is "three hundred fifty-two million, two hundred eighty-three thousand, nine hundred four".