466821520 has 80 divisors (see below), whose sum is σ = 1193637888. Its totient is φ = 168376320.

The previous prime is 466821517. The next prime is 466821527. The reversal of 466821520 is 25128664.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×466821520² = 435844663070220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (466821527) by changing a digit.

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, 109672 + ... + 113848.

Almost surely, 2^466821520 is an apocalyptic number.

466821520 is a gapful number since it is divisible by the number (40) 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 466821520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596818944).

466821520 is an abundant number, since it is smaller than the sum of its proper divisors (726816368).

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

466821520 is a wasteful number, since it uses less digits than its factorization.

466821520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 466821520 is about 21606.0528556236. The cubic root of 466821520 is about 775.7413758910.

The spelling of 466821520 in words is "four hundred sixty-six million, eight hundred twenty-one thousand, five hundred twenty".