300252420 has 240 divisors, whose sum is σ = 1037337840. Its totient is φ = 72244224.

The previous prime is 300252409. The next prime is 300252437. The reversal of 300252420 is 24252003.

It can be written as a sum of positive squares in 8 ways, for example, as 48776256 + 251476164 = 6984^2 + 15858^2 .

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 = 300252393 and 300252402.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1116046 + ... + 1116314.

It is an arithmetic number, because the mean of its divisors is an integer number (4322241).

Almost surely, 2^300252420 is an apocalyptic number.

300252420 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 300252420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518668920).

300252420 is an abundant number, since it is smaller than the sum of its proper divisors (737085420).

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

300252420 is a wasteful number, since it uses less digits than its factorization.

300252420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 300252420 is about 17327.7932813154. The cubic root of 300252420 is about 669.6206510762.

The spelling of 300252420 in words is "three hundred million, two hundred fifty-two thousand, four hundred twenty".