355225200 has 240 divisors, whose sum is σ = 1315201536. Its totient is φ = 80998400.

The previous prime is 355225177. The next prime is 355225207. The reversal of 355225200 is 2522553.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355225207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223609 + ... + 225191.

Almost surely, 2^355225200 is an apocalyptic number.

355225200 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 355225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657600768).

355225200 is an abundant number, since it is smaller than the sum of its proper divisors (959976336).

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

355225200 is a wasteful number, since it uses less digits than its factorization.

355225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 355225200 is about 18847.4189214332. The cubic root of 355225200 is about 708.2195686575.

Adding to 355225200 its reverse (2522553), we get a palindrome (357747753).

The spelling of 355225200 in words is "three hundred fifty-five million, two hundred twenty-five thousand, two hundred".