301430400 has 192 divisors, whose sum is σ = 1051807680. Its totient is φ = 75612160.

The previous prime is 301430357. The next prime is 301430407. The reversal of 301430400 is 4034103.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 301430400.

It is not an unprimeable number, because it can be changed into a prime (301430407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162277 + ... + 164123.

It is an arithmetic number, because the mean of its divisors is an integer number (5478165).

Almost surely, 2^301430400 is an apocalyptic number.

301430400 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 301430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525903840).

301430400 is an abundant number, since it is smaller than the sum of its proper divisors (750377280).

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

301430400 is a wasteful number, since it uses less digits than its factorization.

301430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 301430400 is about 17361.7510637608. The cubic root of 301430400 is about 670.4952156746.

Adding to 301430400 its reverse (4034103), we get a palindrome (305464503).

The spelling of 301430400 in words is "three hundred one million, four hundred thirty thousand, four hundred".