467942160 has 120 divisors (see below), whose sum is σ = 1687499136. Its totient is φ = 106955520.

The previous prime is 467942159. The next prime is 467942171. The reversal of 467942160 is 61249764.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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, 8136 + ... + 31655.

Almost surely, 2^467942160 is an apocalyptic number.

467942160 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 467942160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843749568).

467942160 is an abundant number, since it is smaller than the sum of its proper divisors (1219556976).

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

467942160 is a wasteful number, since it uses less digits than its factorization.

467942160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39821 (or 39808 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 467942160 is about 21631.9707840039. The cubic root of 467942160 is about 776.3616215856.

The spelling of 467942160 in words is "four hundred sixty-seven million, nine hundred forty-two thousand, one hundred sixty".