466006020480 has 2048 divisors, whose sum is σ = 2294853120000. Its totient is φ = 86208675840.

The previous prime is 466006020457. The next prime is 466006020497. The reversal of 466006020480 is 84020600664.

It is a happy number.

466006020480 is a `hidden beast` number, since 4 + 6 + 6 + 0 + 0 + 602 + 0 + 48 + 0 = 666.

It is a super-2 number, since 2×466006020480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 501620656 + ... + 501621584.

It is an arithmetic number, because the mean of its divisors is an integer number (1120533750).

Almost surely, 2^466006020480 is an apocalyptic number.

466006020480 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 466006020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147426560000).

466006020480 is an abundant number, since it is smaller than the sum of its proper divisors (1828847099520).

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

466006020480 is a wasteful number, since it uses less digits than its factorization.

466006020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 466006020480 in words is "four hundred sixty-six billion, six million, twenty thousand, four hundred eighty".