864240300 has 288 divisors, whose sum is σ = 3464778240. Its totient is φ = 179539200.

The previous prime is 864240287. The next prime is 864240317. The reversal of 864240300 is 3042468.

It is a super-2 number, since 2×864240300² = 1493822592288180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 205822 + ... + 209978.

It is an arithmetic number, because the mean of its divisors is an integer number (12030480).

Almost surely, 2^864240300 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 864240300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732389120).

864240300 is an abundant number, since it is smaller than the sum of its proper divisors (2600537940).

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

864240300 is a wasteful number, since it uses less digits than its factorization.

864240300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 864240300 is about 29397.9642152310. The cubic root of 864240300 is about 952.5289221796.

Adding to 864240300 its reverse (3042468), we get a palindrome (867282768).

The spelling of 864240300 in words is "eight hundred sixty-four million, two hundred forty thousand, three hundred".