353299680 has 288 divisors, whose sum is σ = 1307124000. Its totient is φ = 86593536.

The previous prime is 353299669. The next prime is 353299703. The reversal of 353299680 is 86992353.

353299680 is a `hidden beast` number, since 353 + 299 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 1012146 + ... + 1012494.

It is an arithmetic number, because the mean of its divisors is an integer number (4538625).

Almost surely, 2^353299680 is an apocalyptic number.

353299680 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 353299680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653562000).

353299680 is an abundant number, since it is smaller than the sum of its proper divisors (953824320).

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

353299680 is a wasteful number, since it uses less digits than its factorization.

353299680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 415 counting only the distinct ones).

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

The square root of 353299680 is about 18796.2677146289. The cubic root of 353299680 is about 706.9376003164.

The spelling of 353299680 in words is "three hundred fifty-three million, two hundred ninety-nine thousand, six hundred eighty".