300214024200 has 144 divisors (see below), whose sum is σ = 1008609434820. Its totient is φ = 80026053120.

The previous prime is 300214024153. The next prime is 300214024273. The reversal of 300214024200 is 2420412003.

300214024200 is a `hidden beast` number, since 30 + 0 + 214 + 0 + 2 + 420 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 87096994884 + 213117029316 = 295122^2 + 461646^2 .

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 35 ways as a sum of consecutive naturals, for example, 4816434 + ... + 4878366.

Almost surely, 2^300214024200 is an apocalyptic number.

300214024200 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 300214024200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504304717410).

300214024200 is an abundant number, since it is smaller than the sum of its proper divisors (708395410620).

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

300214024200 is a wasteful number, since it uses less digits than its factorization.

300214024200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64648 (or 64636 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 300214024200 its reverse (2420412003), we get a palindrome (302634436203).

The spelling of 300214024200 in words is "three hundred billion, two hundred fourteen million, twenty-four thousand, two hundred".