352850400 has 216 divisors, whose sum is σ = 1422190224. Its totient is φ = 80640000.

The previous prime is 352850371. The next prime is 352850417. The reversal of 352850400 is 4058253.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46900 + ... + 53900.

It is an arithmetic number, because the mean of its divisors is an integer number (6584214).

Almost surely, 2^352850400 is an apocalyptic number.

352850400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711095112).

352850400 is an abundant number, since it is smaller than the sum of its proper divisors (1069339824).

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

352850400 is a wasteful number, since it uses less digits than its factorization.

352850400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7034 (or 7018 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 352850400 is about 18784.3126038724. The cubic root of 352850400 is about 706.6378098260.

The spelling of 352850400 in words is "three hundred fifty-two million, eight hundred fifty thousand, four hundred".