355265952 has 192 divisors, whose sum is σ = 1039933440. Its totient is φ = 105753600.

The previous prime is 355265929. The next prime is 355265987. The reversal of 355265952 is 259562553.

355265952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3449133 + ... + 3449235.

It is an arithmetic number, because the mean of its divisors is an integer number (5416320).

Almost surely, 2^355265952 is an apocalyptic number.

355265952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is a pronic number, being equal to 18848×18849.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355265952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519966720).

355265952 is an abundant number, since it is smaller than the sum of its proper divisors (684667488).

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

355265952 is a wasteful number, since it uses less digits than its factorization.

355265952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

The product of its digits is 405000, while the sum is 42.

The square root of 355265952 is about 18848.4999933682. The cubic root of 355265952 is about 708.2466503137.

The spelling of 355265952 in words is "three hundred fifty-five million, two hundred sixty-five thousand, nine hundred fifty-two".