466535160 has 512 divisors, whose sum is σ = 1974067200. Its totient is φ = 95385600.

The previous prime is 466535149. The next prime is 466535161. The reversal of 466535160 is 61535664.

466535160 is a `hidden beast` number, since 4 + 66 + 535 + 1 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466535161) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 4619110 + ... + 4619210.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 2^466535160 is an apocalyptic number.

466535160 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 466535160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987033600).

466535160 is an abundant number, since it is smaller than the sum of its proper divisors (1507532040).

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

466535160 is a wasteful number, since it uses less digits than its factorization.

466535160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 466535160 is about 21599.4249923464. The cubic root of 466535160 is about 775.5827237233.

The spelling of 466535160 in words is "four hundred sixty-six million, five hundred thirty-five thousand, one hundred sixty".