466773120 has 384 divisors, whose sum is σ = 1804420800. Its totient is φ = 110223360.

The previous prime is 466773101. The next prime is 466773137. The reversal of 466773120 is 21377664.

466773120 is a `hidden beast` number, since 466 + 7 + 73 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 3358011 + ... + 3358149.

Almost surely, 2^466773120 is an apocalyptic number.

466773120 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 466773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902210400).

466773120 is an abundant number, since it is smaller than the sum of its proper divisors (1337647680).

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

466773120 is a wasteful number, since it uses less digits than its factorization.

466773120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 466773120 is about 21604.9327700875. The cubic root of 466773120 is about 775.7145653731.

The spelling of 466773120 in words is "four hundred sixty-six million, seven hundred seventy-three thousand, one hundred twenty".