467686672 has 80 divisors (see below), whose sum is σ = 987436800. Its totient is φ = 213857280.

The previous prime is 467686663. The next prime is 467686679. The reversal of 467686672 is 276686764.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (467686679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1956729 + ... + 1956967.

It is an arithmetic number, because the mean of its divisors is an integer number (12342960).

Almost surely, 2^467686672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467686672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493718400).

467686672 is an abundant number, since it is smaller than the sum of its proper divisors (519750128).

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

467686672 is a wasteful number, since it uses less digits than its factorization.

467686672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 52.

The square root of 467686672 is about 21626.0646443129. The cubic root of 467686672 is about 776.2203027043.

The spelling of 467686672 in words is "four hundred sixty-seven million, six hundred eighty-six thousand, six hundred seventy-two".