300420156960 has 768 divisors, whose sum is σ = 1313997189120. Its totient is φ = 62278778880.

The previous prime is 300420156917. The next prime is 300420156977. The reversal of 300420156960 is 69651024003.

It is a happy number.

300420156960 is a `hidden beast` number, since 30 + 0 + 4 + 2 + 0 + 1 + 569 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 197254759 + ... + 197256281.

It is an arithmetic number, because the mean of its divisors is an integer number (1710933840).

Almost surely, 2^300420156960 is an apocalyptic number.

300420156960 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 300420156960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656998594560).

300420156960 is an abundant number, since it is smaller than the sum of its proper divisors (1013577032160).

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

300420156960 is a wasteful number, since it uses less digits than its factorization.

300420156960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 300420156960 in words is "three hundred billion, four hundred twenty million, one hundred fifty-six thousand, nine hundred sixty".