468748840 has 64 divisors (see below), whose sum is σ = 1207762560. Its totient is φ = 160392960.

The previous prime is 468748831. The next prime is 468748843. The reversal of 468748840 is 48847864.

468748840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (468748843) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 170275 + ... + 173005.

It is an arithmetic number, because the mean of its divisors is an integer number (18871290).

Almost surely, 2^468748840 is an apocalyptic number.

468748840 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 468748840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603881280).

468748840 is an abundant number, since it is smaller than the sum of its proper divisors (739013720).

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

468748840 is a wasteful number, since it uses less digits than its factorization.

468748840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 49.

The square root of 468748840 is about 21650.6083055419. The cubic root of 468748840 is about 776.8074857075.

The spelling of 468748840 in words is "four hundred sixty-eight million, seven hundred forty-eight thousand, eight hundred forty".