352097280 has 264 divisors, whose sum is σ = 1269664032. Its totient is φ = 93560832.

The previous prime is 352097243. The next prime is 352097297. The reversal of 352097280 is 82790253.

It is a happy number.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1244019 + ... + 1244301.

Almost surely, 2^352097280 is an apocalyptic number.

352097280 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 352097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634832016).

352097280 is an abundant number, since it is smaller than the sum of its proper divisors (917566752).

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

352097280 is an equidigital number, since it uses as much as digits as its factorization.

352097280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 352097280 is about 18764.2553809097. The cubic root of 352097280 is about 706.1347050678.

The spelling of 352097280 in words is "three hundred fifty-two million, ninety-seven thousand, two hundred eighty".