466464028480 has 112 divisors (see below), whose sum is σ = 1121676192000. Its totient is φ = 184760211456.

The previous prime is 466464028477. The next prime is 466464028553. The reversal of 466464028480 is 84820464664.

It is a super-2 number, since 2×466464028480² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17289241 + ... + 17316199.

It is an arithmetic number, because the mean of its divisors is an integer number (10014966000).

Almost surely, 2^466464028480 is an apocalyptic number.

466464028480 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 466464028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560838096000).

466464028480 is an abundant number, since it is smaller than the sum of its proper divisors (655212163520).

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

466464028480 is a wasteful number, since it uses less digits than its factorization.

466464028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27504 (or 27494 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 52.

The spelling of 466464028480 in words is "four hundred sixty-six billion, four hundred sixty-four million, twenty-eight thousand, four hundred eighty".