467256160 has 144 divisors (see below), whose sum is σ = 1298448144. Its totient is φ = 158419968.

The previous prime is 467256121. The next prime is 467256193. The reversal of 467256160 is 61652764.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 838602 + ... + 839158.

It is an arithmetic number, because the mean of its divisors is an integer number (9017001).

Almost surely, 2^467256160 is an apocalyptic number.

467256160 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 467256160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649224072).

467256160 is an abundant number, since it is smaller than the sum of its proper divisors (831191984).

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

467256160 is a wasteful number, since it uses less digits than its factorization.

467256160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 467256160 is about 21616.1088080163. The cubic root of 467256160 is about 775.9820557724.

The spelling of 467256160 in words is "four hundred sixty-seven million, two hundred fifty-six thousand, one hundred sixty".