353496960 has 192 divisors, whose sum is σ = 1266436080. Its totient is φ = 94224384.

The previous prime is 353496953. The next prime is 353496977. The reversal of 353496960 is 69694353.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154384 + ... + 156656.

Almost surely, 2^353496960 is an apocalyptic number.

353496960 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 353496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633218040).

353496960 is an abundant number, since it is smaller than the sum of its proper divisors (912939120).

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

353496960 is an equidigital number, since it uses as much as digits as its factorization.

353496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 353496960 is about 18801.5148325873. The cubic root of 353496960 is about 707.0691587893.

The spelling of 353496960 in words is "three hundred fifty-three million, four hundred ninety-six thousand, nine hundred sixty".