466663824 has 120 divisors (see below), whose sum is σ = 1474012800. Its totient is φ = 136523520.

The previous prime is 466663811. The next prime is 466663829. The reversal of 466663824 is 428366664.

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

It is a self number, because there is not a number n which added to its sum of digits gives 466663824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466663829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40857 + ... + 51015.

It is an arithmetic number, because the mean of its divisors is an integer number (12283440).

Almost surely, 2^466663824 is an apocalyptic number.

466663824 is a gapful number since it is divisible by the number (44) 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 466663824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737006400).

466663824 is an abundant number, since it is smaller than the sum of its proper divisors (1007348976).

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

466663824 is a wasteful number, since it uses less digits than its factorization.

466663824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10213 (or 10204 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 466663824 is about 21602.4031996442. The cubic root of 466663824 is about 775.6540155301.

The spelling of 466663824 in words is "four hundred sixty-six million, six hundred sixty-three thousand, eight hundred twenty-four".