466450513920 has 864 divisors, whose sum is σ = 1751912154720. Its totient is φ = 118908518400.

The previous prime is 466450513897. The next prime is 466450513943. The reversal of 466450513920 is 29315054664.

466450513920 is a `hidden beast` number, since 4 + 6 + 6 + 4 + 505 + 139 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (466450513897) and next prime (466450513943).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×466450513920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4618321870 + ... + 4618321970.

It is an arithmetic number, because the mean of its divisors is an integer number (2027676105).

Almost surely, 2^466450513920 is an apocalyptic number.

466450513920 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 466450513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875956077360).

466450513920 is an abundant number, since it is smaller than the sum of its proper divisors (1285461640800).

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

466450513920 is an frugal number, since it uses more digits than its factorization.

466450513920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 466450513920 in words is "four hundred sixty-six billion, four hundred fifty million, five hundred thirteen thousand, nine hundred twenty".