642300300 has 144 divisors (see below), whose sum is σ = 2154862080. Its totient is φ = 163817280.

The previous prime is 642300299. The next prime is 642300371. The reversal of 642300300 is 3003246.

642300300 is a `hidden beast` number, since 64 + 2 + 300 + 300 = 666.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 56929 + ... + 67271.

It is an arithmetic number, because the mean of its divisors is an integer number (14964320).

Almost surely, 2^642300300 is an apocalyptic number.

642300300 is a gapful number since it is divisible by the number (60) 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 642300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077431040).

642300300 is an abundant number, since it is smaller than the sum of its proper divisors (1512561780).

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

642300300 is a wasteful number, since it uses less digits than its factorization.

642300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10389 (or 10376 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 642300300 is about 25343.6441736385. The cubic root of 642300300 is about 862.8051094461.

Adding to 642300300 its reverse (3003246), we get a palindrome (645303546).

The spelling of 642300300 in words is "six hundred forty-two million, three hundred thousand, three hundred".