355225248 has 288 divisors, whose sum is σ = 1237856256. Its totient is φ = 94431744.

The previous prime is 355225237. The next prime is 355225259. The reversal of 355225248 is 842522553.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (355225237) and next prime (355225259).

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (96000) is a multiple of the sum of its prime factors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2179215 + ... + 2179377.

It is an arithmetic number, because the mean of its divisors is an integer number (4298112).

Almost surely, 2^355225248 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 355225248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618928128).

355225248 is an abundant number, since it is smaller than the sum of its proper divisors (882631008).

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

355225248 is a wasteful number, since it uses less digits than its factorization.

355225248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 245 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 355225248 is about 18847.4201948171. The cubic root of 355225248 is about 708.2196005570.

The spelling of 355225248 in words is "three hundred fifty-five million, two hundred twenty-five thousand, two hundred forty-eight".