353116400 has 240 divisors, whose sum is σ = 1065556800. Its totient is φ = 109486080.

The previous prime is 353116399. The next prime is 353116411. The reversal of 353116400 is 4611353.

It is a happy number.

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, 3239546 + ... + 3239654.

It is an arithmetic number, because the mean of its divisors is an integer number (4439820).

Almost surely, 2^353116400 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 353116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532778400).

353116400 is an abundant number, since it is smaller than the sum of its proper divisors (712440400).

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

353116400 is a wasteful number, since it uses less digits than its factorization.

353116400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 353116400 is about 18791.3916461767. The cubic root of 353116400 is about 706.8153340155.

Adding to 353116400 its reverse (4611353), we get a palindrome (357727753).

The spelling of 353116400 in words is "three hundred fifty-three million, one hundred sixteen thousand, four hundred".