350404800 has 168 divisors, whose sum is σ = 1181288976. Its totient is φ = 90869760.

The previous prime is 350404781. The next prime is 350404823. The reversal of 350404800 is 8404053.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 176614 + ... + 178586.

It is an arithmetic number, because the mean of its divisors is an integer number (7031482).

Almost surely, 2^350404800 is an apocalyptic number.

350404800 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 350404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590644488).

350404800 is an abundant number, since it is smaller than the sum of its proper divisors (830884176).

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

350404800 is a wasteful number, since it uses less digits than its factorization.

350404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 350404800 is about 18719.1025425900. The cubic root of 350404800 is about 705.0014586761.

Adding to 350404800 its reverse (8404053), we get a palindrome (358808853).

The spelling of 350404800 in words is "three hundred fifty million, four hundred four thousand, eight hundred".