300222720 has 576 divisors, whose sum is σ = 1306851840. Its totient is φ = 63700992.

The previous prime is 300222707. The next prime is 300222757. The reversal of 300222720 is 27222003.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 300222693 and 300222702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4112604 + ... + 4112676.

It is an arithmetic number, because the mean of its divisors is an integer number (2268840).

Almost surely, 2^300222720 is an apocalyptic number.

300222720 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 300222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653425920).

300222720 is an abundant number, since it is smaller than the sum of its proper divisors (1006629120).

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

300222720 is a wasteful number, since it uses less digits than its factorization.

300222720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 300222720 is about 17326.9362554377. The cubic root of 300222720 is about 669.5985714439.

Adding to 300222720 its reverse (27222003), we get a palindrome (327444723).

The spelling of 300222720 in words is "three hundred million, two hundred twenty-two thousand, seven hundred twenty".