466466688 has 112 divisors (see below), whose sum is σ = 1393575000. Its totient is φ = 155457792.

The previous prime is 466466687. The next prime is 466466729. The reversal of 466466688 is 886664664.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466466687) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 90813 + ... + 95811.

Almost surely, 2^466466688 is an apocalyptic number.

466466688 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 466466688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696787500).

466466688 is an abundant number, since it is smaller than the sum of its proper divisors (927108312).

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

466466688 is an frugal number, since it uses more digits than its factorization.

466466688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5031 (or 5004 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 466466688 is about 21597.8398919892. The cubic root of 466466688 is about 775.5447785314.

The spelling of 466466688 in words is "four hundred sixty-six million, four hundred sixty-six thousand, six hundred eighty-eight".