350414400 has 168 divisors, whose sum is σ = 1314013120. Its totient is φ = 80087040.

The previous prime is 350414377. The next prime is 350414411. The reversal of 350414400 is 4414053.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28386 + ... + 38814.

Almost surely, 2^350414400 is an apocalyptic number.

350414400 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 350414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657006560).

350414400 is an abundant number, since it is smaller than the sum of its proper divisors (963598720).

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

350414400 is a wasteful number, since it uses less digits than its factorization.

350414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10461 (or 10446 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 350414400 is about 18719.3589633833. The cubic root of 350414400 is about 705.0078968986.

Adding to 350414400 its reverse (4414053), we get a palindrome (354828453).

The spelling of 350414400 in words is "three hundred fifty million, four hundred fourteen thousand, four hundred".