304268400 has 150 divisors (see below), whose sum is σ = 1092111152. Its totient is φ = 81129600.

The previous prime is 304268399. The next prime is 304268411. The reversal of 304268400 is 4862403.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 27705 + ... + 37095.

Almost surely, 2^304268400 is an apocalyptic number.

304268400 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 304268400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546055576).

304268400 is an abundant number, since it is smaller than the sum of its proper divisors (787842752).

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

304268400 is a wasteful number, since it uses less digits than its factorization.

304268400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9421 (or 9401 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 304268400 is about 17443.2909738960. The cubic root of 304268400 is about 672.5929078440.

The spelling of 304268400 in words is "three hundred four million, two hundred sixty-eight thousand, four hundred".