353993856 has 128 divisors (see below), whose sum is σ = 1004218560. Its totient is φ = 110100480.

The previous prime is 353993791. The next prime is 353993869. The reversal of 353993856 is 658399353.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 353993799 and 353993808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1377280 + ... + 1377536.

Almost surely, 2^353993856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353993856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502109280).

353993856 is an abundant number, since it is smaller than the sum of its proper divisors (650224704).

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

353993856 is a wasteful number, since it uses less digits than its factorization.

353993856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 490 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 51.

The square root of 353993856 is about 18814.7244465605. The cubic root of 353993856 is about 707.4003029326.

The spelling of 353993856 in words is "three hundred fifty-three million, nine hundred ninety-three thousand, eight hundred fifty-six".