350054400 has 288 divisors, whose sum is σ = 1206485280. Its totient is φ = 89456640.

The previous prime is 350054377. The next prime is 350054407. The reversal of 350054400 is 4450053.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (350054407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6604774 + ... + 6604826.

It is an arithmetic number, because the mean of its divisors is an integer number (4189185).

Almost surely, 2^350054400 is an apocalyptic number.

350054400 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 350054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603242640).

350054400 is an abundant number, since it is smaller than the sum of its proper divisors (856430880).

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

350054400 is a wasteful number, since it uses less digits than its factorization.

350054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 350054400 is about 18709.7407785357. The cubic root of 350054400 is about 704.7663830341.

The spelling of 350054400 in words is "three hundred fifty million, fifty-four thousand, four hundred".