353322400 has 72 divisors (see below), whose sum is σ = 882693504. Its totient is φ = 138028800.

The previous prime is 353322397. The next prime is 353322413. The reversal of 353322400 is 4223353.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29265 + ... + 39535.

It is an arithmetic number, because the mean of its divisors is an integer number (12259632).

Almost surely, 2^353322400 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 353322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441346752).

353322400 is an abundant number, since it is smaller than the sum of its proper divisors (529371104).

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

353322400 is a wasteful number, since it uses less digits than its factorization.

353322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10334 (or 10321 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 353322400 is about 18796.8720802159. The cubic root of 353322400 is about 706.9527539088.

Adding to 353322400 its reverse (4223353), we get a palindrome (357545753).

The spelling of 353322400 in words is "three hundred fifty-three million, three hundred twenty-two thousand, four hundred".