468386464 has 96 divisors (see below), whose sum is σ = 1141378560. Its totient is φ = 184246272.

The previous prime is 468386459. The next prime is 468386483. The reversal of 468386464 is 464683864.

It is a happy number.

It is an unprimeable number.

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, 695632 + ... + 696304.

It is an arithmetic number, because the mean of its divisors is an integer number (11889360).

Almost surely, 2^468386464 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 468386464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570689280).

468386464 is an abundant number, since it is smaller than the sum of its proper divisors (672992096).

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

468386464 is a wasteful number, since it uses less digits than its factorization.

468386464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 934 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 49.

The square root of 468386464 is about 21642.2379619114. The cubic root of 468386464 is about 776.6072583964.

The spelling of 468386464 in words is "four hundred sixty-eight million, three hundred eighty-six thousand, four hundred sixty-four".