350105400 has 288 divisors, whose sum is σ = 1283958000. Its totient is φ = 85155840.

The previous prime is 350105387. The next prime is 350105401. The reversal of 350105400 is 4501053.

It is a super-2 number, since 2×350105400² = 245147582218320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350105401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 991624 + ... + 991976.

Almost surely, 2^350105400 is an apocalyptic number.

350105400 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 350105400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641979000).

350105400 is an abundant number, since it is smaller than the sum of its proper divisors (933852600).

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

350105400 is a wasteful number, since it uses less digits than its factorization.

350105400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 350105400 is about 18711.1036553165. The cubic root of 350105400 is about 704.8006075624.

Adding to 350105400 its reverse (4501053), we get a palindrome (354606453).

The spelling of 350105400 in words is "three hundred fifty million, one hundred five thousand, four hundred".