468643840 has 156 divisors (see below), whose sum is σ = 1311018696. Its totient is φ = 160333824.

The previous prime is 468643793. The next prime is 468643849. The reversal of 468643840 is 48346864.

468643840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468643849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1003287 + ... + 1003753.

It is an arithmetic number, because the mean of its divisors is an integer number (8403966).

Almost surely, 2^468643840 is an apocalyptic number.

468643840 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 468643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655509348).

468643840 is an abundant number, since it is smaller than the sum of its proper divisors (842374856).

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

468643840 is an equidigital number, since it uses as much as digits as its factorization.

468643840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The square root of 468643840 is about 21648.1832956024. The cubic root of 468643840 is about 776.7494796071.

The spelling of 468643840 in words is "four hundred sixty-eight million, six hundred forty-three thousand, eight hundred forty".