468845600 has 36 divisors (see below), whose sum is σ = 1144571274. Its totient is φ = 187537920.

The previous prime is 468845563. The next prime is 468845609. The reversal of 468845600 is 6548864.

It can be written as a sum of positive squares in 3 ways, for example, as 291316624 + 177528976 = 17068^2 + 13324^2 .

It is not an unprimeable number, because it can be changed into a prime (468845609) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 292229 + ... + 293828.

Almost surely, 2^468845600 is an apocalyptic number.

468845600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468845600 is an abundant number, since it is smaller than the sum of its proper divisors (675725674).

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

468845600 is a wasteful number, since it uses less digits than its factorization.

468845600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586077 (or 586064 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The square root of 468845600 is about 21652.8427694841. The cubic root of 468845600 is about 776.8609320415.

The spelling of 468845600 in words is "four hundred sixty-eight million, eight hundred forty-five thousand, six hundred".