304106400 has 540 divisors, whose sum is σ = 1260493542. Its totient is φ = 70917120.

The previous prime is 304106399. The next prime is 304106417. The reversal of 304106400 is 4601403.

It can be written as a sum of positive squares in 3 ways, for example, as 168896016 + 135210384 = 12996^2 + 11628^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 16005591 + ... + 16005609.

Almost surely, 2^304106400 is an apocalyptic number.

304106400 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 304106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630246771).

304106400 is an abundant number, since it is smaller than the sum of its proper divisors (956387142).

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

304106400 is a wasteful number, since it uses less digits than its factorization.

304106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 304106400 is about 17438.6467364873. The cubic root of 304106400 is about 672.4735183024.

Adding to 304106400 its reverse (4601403), we get a palindrome (308707803).

The spelling of 304106400 in words is "three hundred four million, one hundred six thousand, four hundred".