468448890 has 256 divisors, whose sum is σ = 1469905920. Its totient is φ = 92897280.

The previous prime is 468448873. The next prime is 468448891. The reversal of 468448890 is 98844864.

It is not an unprimeable number, because it can be changed into a prime (468448891) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4829322 + ... + 4829418.

It is an arithmetic number, because the mean of its divisors is an integer number (5741820).

Almost surely, 2^468448890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468448890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734952960).

468448890 is an abundant number, since it is smaller than the sum of its proper divisors (1001457030).

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

468448890 is a wasteful number, since it uses less digits than its factorization.

468448890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217.

The product of its (nonzero) digits is 1769472, while the sum is 51.

The square root of 468448890 is about 21643.6801399392. The cubic root of 468448890 is about 776.6417586327.

The spelling of 468448890 in words is "four hundred sixty-eight million, four hundred forty-eight thousand, eight hundred ninety".