468383864 has 128 divisors (see below), whose sum is σ = 1051807680. Its totient is φ = 193536000.

The previous prime is 468383863. The next prime is 468383873.

468383864 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468383863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4637414 + ... + 4637514.

Almost surely, 2^468383864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468383864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525903840).

468383864 is an abundant number, since it is smaller than the sum of its proper divisors (583423816).

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

468383864 is a wasteful number, since it uses less digits than its factorization.

468383864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 237 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 50.

The square root of 468383864 is about 21642.1778941030. The cubic root of 468383864 is about 776.6058214188.

The spelling of 468383864 in words is "four hundred sixty-eight million, three hundred eighty-three thousand, eight hundred sixty-four".