468851120 has 80 divisors (see below), whose sum is σ = 1134972000. Its totient is φ = 179902464.

The previous prime is 468851093. The next prime is 468851153. The reversal of 468851120 is 21158864.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414716 + ... + 415844.

It is an arithmetic number, because the mean of its divisors is an integer number (14187150).

Almost surely, 2^468851120 is an apocalyptic number.

468851120 is a gapful number since it is divisible by the number (40) 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 468851120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567486000).

468851120 is an abundant number, since it is smaller than the sum of its proper divisors (666120880).

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

468851120 is a wasteful number, since it uses less digits than its factorization.

468851120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 468851120 is about 21652.9702350509. The cubic root of 468851120 is about 776.8639808458.

The spelling of 468851120 in words is "four hundred sixty-eight million, eight hundred fifty-one thousand, one hundred twenty".