466994160 has 200 divisors, whose sum is σ = 1707755280. Its totient is φ = 117946368.

The previous prime is 466994159. The next prime is 466994167. The reversal of 466994160 is 61499664.

466994160 is a `hidden beast` number, since 466 + 99 + 41 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466994167) 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 39 ways as a sum of consecutive naturals, for example, 121224 + ... + 125016.

Almost surely, 2^466994160 is an apocalyptic number.

466994160 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 466994160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853877640).

466994160 is an abundant number, since it is smaller than the sum of its proper divisors (1240761120).

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

466994160 is a wasteful number, since it uses less digits than its factorization.

466994160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 466994160 is about 21610.0476630664. The cubic root of 466994160 is about 775.8369923665.

The spelling of 466994160 in words is "four hundred sixty-six million, nine hundred ninety-four thousand, one hundred sixty".