353928960 has 864 divisors, whose sum is σ = 1677715200. Its totient is φ = 69672960.

The previous prime is 353928931. The next prime is 353928961. The reversal of 353928960 is 69829353.

353928960 is a `hidden beast` number, since 3 + 539 + 28 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353928961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18627831 + ... + 18627849.

It is an arithmetic number, because the mean of its divisors is an integer number (1941800).

Almost surely, 2^353928960 is an apocalyptic number.

353928960 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 353928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838857600).

353928960 is an abundant number, since it is smaller than the sum of its proper divisors (1323786240).

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

353928960 is a wasteful number, since it uses less digits than its factorization.

353928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 353928960 is about 18812.9997608037. Note that the first 3 decimals coincide. The cubic root of 353928960 is about 707.3570721863.

The spelling of 353928960 in words is "three hundred fifty-three million, nine hundred twenty-eight thousand, nine hundred sixty".