642144300 has 72 divisors (see below), whose sum is σ = 2123364096. Its totient is φ = 146775360.

The previous prime is 642144289. The next prime is 642144313. The reversal of 642144300 is 3441246.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150792 + ... + 154991.

It is an arithmetic number, because the mean of its divisors is an integer number (29491168).

Almost surely, 2^642144300 is an apocalyptic number.

642144300 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642144300 is an abundant number, since it is smaller than the sum of its proper divisors (1481219796).

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

642144300 is a wasteful number, since it uses less digits than its factorization.

642144300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305807 (or 305800 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 642144300 is about 25340.5662920149. The cubic root of 642144300 is about 862.7352519379.

Adding to 642144300 its reverse (3441246), we get a palindrome (645585546).

It can be divided in two parts, 6421 and 44300, that added together give a triangular number (50721 = T₃₁₈).

The spelling of 642144300 in words is "six hundred forty-two million, one hundred forty-four thousand, three hundred".