468914688 has 270 divisors, whose sum is σ = 1540596057. Its totient is φ = 137195520.

The previous prime is 468914683. The next prime is 468914701. The reversal of 468914688 is 886419864.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 468635904 + 278784 = 21648^2 + 528^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=15312.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (468914681) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16169458 + ... + 16169486.

Almost surely, 2^468914688 is an apocalyptic number.

468914688 is a gapful number since it is divisible by the number (48) 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 468914688

468914688 is an abundant number, since it is smaller than the sum of its proper divisors (1071681369).

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

468914688 is a wasteful number, since it uses less digits than its factorization.

468914688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 45 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 468914688 is about 21654.4380670568. The cubic root of 468914688 is about 776.8990889756.

The spelling of 468914688 in words is "four hundred sixty-eight million, nine hundred fourteen thousand, six hundred eighty-eight".