467271680 has 144 divisors (see below), whose sum is σ = 1207954944. Its totient is φ = 173015040.

The previous prime is 467271643. The next prime is 467271719. The reversal of 467271680 is 86172764.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15073265 + ... + 15073295.

It is an arithmetic number, because the mean of its divisors is an integer number (8388576).

Almost surely, 2^467271680 is an apocalyptic number.

467271680 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 467271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603977472).

467271680 is an abundant number, since it is smaller than the sum of its proper divisors (740683264).

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

467271680 is an frugal number, since it uses more digits than its factorization.

467271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 467271680 is about 21616.4677965666. The cubic root of 467271680 is about 775.9906471399.

The spelling of 467271680 in words is "four hundred sixty-seven million, two hundred seventy-one thousand, six hundred eighty".