352260720 has 240 divisors, whose sum is σ = 1389286080. Its totient is φ = 78299136.

The previous prime is 352260677. The next prime is 352260731. The reversal of 352260720 is 27062253.

352260720 is a `hidden beast` number, since 3 + 52 + 2 + 607 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×352260720² = 248175229709836800, which contains 22 as substring.

It is a congruent number.

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, 185536 + ... + 187424.

It is an arithmetic number, because the mean of its divisors is an integer number (5788692).

Almost surely, 2^352260720 is an apocalyptic number.

352260720 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 352260720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694643040).

352260720 is an abundant number, since it is smaller than the sum of its proper divisors (1037025360).

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

352260720 is a wasteful number, since it uses less digits than its factorization.

352260720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 352260720 is about 18768.6099645126. The cubic root of 352260720 is about 706.2439483649.

The spelling of 352260720 in words is "three hundred fifty-two million, two hundred sixty thousand, seven hundred twenty".