353280960 has 224 divisors, whose sum is σ = 1287475200. Its totient is φ = 91100160.

The previous prime is 353280947. The next prime is 353280979. The reversal of 353280960 is 69082353.

353280960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267181 + ... + 268499.

Almost surely, 2^353280960 is an apocalyptic number.

353280960 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 353280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643737600).

353280960 is an abundant number, since it is smaller than the sum of its proper divisors (934194240).

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

353280960 is a wasteful number, since it uses less digits than its factorization.

353280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 353280960 is about 18795.7697368317. The cubic root of 353280960 is about 706.9251141218.

The spelling of 353280960 in words is "three hundred fifty-three million, two hundred eighty thousand, nine hundred sixty".