466870417920 has 960 divisors, whose sum is σ = 1794284908416. Its totient is φ = 115935805440.

The previous prime is 466870417861. The next prime is 466870417957. The reversal of 466870417920 is 29714078664.

466870417920 is a `hidden beast` number, since 4 + 66 + 87 + 0 + 417 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1385371992 + ... + 1385372328.

Almost surely, 2^466870417920 is an apocalyptic number.

466870417920 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 466870417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897142454208).

466870417920 is an abundant number, since it is smaller than the sum of its proper divisors (1327414490496).

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

466870417920 is a wasteful number, since it uses less digits than its factorization.

466870417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 466870417920 in words is "four hundred sixty-six billion, eight hundred seventy million, four hundred seventeen thousand, nine hundred twenty".