300996864 has 144 divisors (see below), whose sum is σ = 1017421440. Its totient is φ = 85985280.

The previous prime is 300996847. The next prime is 300996877. The reversal of 300996864 is 468699003.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×300996864² = 181198224275668992, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45274 + ... + 51494.

Almost surely, 2^300996864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300996864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508710720).

300996864 is an abundant number, since it is smaller than the sum of its proper divisors (716424576).

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

300996864 is an equidigital number, since it uses as much as digits as its factorization.

300996864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6253 (or 6233 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 300996864 is about 17349.2611946446. The cubic root of 300996864 is about 670.1736120970.

It can be divided in two parts, 30099 and 6864, that added together give a palindrome (36963).

The spelling of 300996864 in words is "three hundred million, nine hundred ninety-six thousand, eight hundred sixty-four".