352268280 has 192 divisors, whose sum is σ = 1409204160. Its totient is φ = 74317824.

The previous prime is 352268261. The next prime is 352268281. The reversal of 352268280 is 82862253.

352268280 is a `hidden beast` number, since 352 + 26 + 8 + 280 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352268281) 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, 27384 + ... + 38136.

It is an arithmetic number, because the mean of its divisors is an integer number (7339605).

Almost surely, 2^352268280 is an apocalyptic number.

352268280 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 352268280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704602080).

352268280 is an abundant number, since it is smaller than the sum of its proper divisors (1056935880).

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

352268280 is a wasteful number, since it uses less digits than its factorization.

352268280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10790 (or 10783 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 352268280 is about 18768.8113635361. The cubic root of 352268280 is about 706.2490006512.

The spelling of 352268280 in words is "three hundred fifty-two million, two hundred sixty-eight thousand, two hundred eighty".