466084920 has 256 divisors, whose sum is σ = 1711964160. Its totient is φ = 99090432.

The previous prime is 466084919. The next prime is 466084939. The reversal of 466084920 is 29480664.

It is a Cunningham number, because it is equal to 21589²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1813432 + ... + 1813688.

It is an arithmetic number, because the mean of its divisors is an integer number (6687360).

Almost surely, 2^466084920 is an apocalyptic number.

466084920 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 466084920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855982080).

466084920 is an abundant number, since it is smaller than the sum of its proper divisors (1245879240).

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

466084920 is a wasteful number, since it uses less digits than its factorization.

466084920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 466084920 is about 21588.9999768401. Note that the first 4 decimals coincide. The cubic root of 466084920 is about 775.3331457068. Note that the first 3 decimals are identical.

The spelling of 466084920 in words is "four hundred sixty-six million, eighty-four thousand, nine hundred twenty".