355672240 has 240 divisors, whose sum is σ = 1080555840. Its totient is φ = 106444800.

The previous prime is 355672217. The next prime is 355672259. The reversal of 355672240 is 42276553.

It is a junction number, because it is equal to n+sod(n) for n = 355672196 and 355672205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1964950 + ... + 1965130.

It is an arithmetic number, because the mean of its divisors is an integer number (4502316).

Almost surely, 2^355672240 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 355672240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540277920).

355672240 is an abundant number, since it is smaller than the sum of its proper divisors (724883600).

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

355672240 is a wasteful number, since it uses less digits than its factorization.

355672240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 355672240 is about 18859.2746414065. The cubic root of 355672240 is about 708.5165349737.

The spelling of 355672240 in words is "three hundred fifty-five million, six hundred seventy-two thousand, two hundred forty".