350800400 has 60 divisors (see below), whose sum is σ = 846068244. Its totient is φ = 139776000.

The previous prime is 350800397. The next prime is 350800451. The reversal of 350800400 is 4008053.

It can be written as a sum of positive squares in 6 ways, for example, as 61528336 + 289272064 = 7844^2 + 17008^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 110840 + ... + 113960.

Almost surely, 2^350800400 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 350800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423034122).

350800400 is an abundant number, since it is smaller than the sum of its proper divisors (495267844).

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

350800400 is a wasteful number, since it uses less digits than its factorization.

350800400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 350800400 is about 18729.6663077589. Note that the first 3 decimals coincide. The cubic root of 350800400 is about 705.2666697366.

Adding to 350800400 its reverse (4008053), we get a palindrome (354808453).

The spelling of 350800400 in words is "three hundred fifty million, eight hundred thousand, four hundred".