466663120 has 240 divisors, whose sum is σ = 1396410624. Its totient is φ = 141926400.

The previous prime is 466663111. The next prime is 466663177. The reversal of 466663120 is 21366664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4810912 + ... + 4811008.

Almost surely, 2^466663120 is an apocalyptic number.

466663120 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 466663120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698205312).

466663120 is an abundant number, since it is smaller than the sum of its proper divisors (929747504).

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

466663120 is a wasteful number, since it uses less digits than its factorization.

466663120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 466663120 is about 21602.3869051547. The cubic root of 466663120 is about 775.6536254844.

The spelling of 466663120 in words is "four hundred sixty-six million, six hundred sixty-three thousand, one hundred twenty".