355228200 has 192 divisors, whose sum is σ = 1234296000. Its totient is φ = 93899520.

The previous prime is 355228129. The next prime is 355228201. The reversal of 355228200 is 2822553.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (355228201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 847591 + ... + 848009.

It is an arithmetic number, because the mean of its divisors is an integer number (6428625).

Almost surely, 2^355228200 is an apocalyptic number.

355228200 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 355228200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617148000).

355228200 is an abundant number, since it is smaller than the sum of its proper divisors (879067800).

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

355228200 is a wasteful number, since it uses less digits than its factorization.

355228200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 586 counting only the distinct ones).

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

The square root of 355228200 is about 18847.4985077596. The cubic root of 355228200 is about 708.2215623718.

The spelling of 355228200 in words is "three hundred fifty-five million, two hundred twenty-eight thousand, two hundred".