467068920 has 64 divisors (see below), whose sum is σ = 1408320000. Its totient is φ = 123919488.

The previous prime is 467068907. The next prime is 467068949. The reversal of 467068920 is 29860764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14101 + ... + 33659.

It is an arithmetic number, because the mean of its divisors is an integer number (22005000).

Almost surely, 2^467068920 is an apocalyptic number.

467068920 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 467068920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704160000).

467068920 is an abundant number, since it is smaller than the sum of its proper divisors (941251080).

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

467068920 is a wasteful number, since it uses less digits than its factorization.

467068920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19772 (or 19768 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 467068920 is about 21611.7773447720. Note that the first 3 decimals coincide. The cubic root of 467068920 is about 775.8783907991.

The spelling of 467068920 in words is "four hundred sixty-seven million, sixty-eight thousand, nine hundred twenty".