467163840 has 448 divisors, whose sum is σ = 1806561792. Its totient is φ = 100761600.

The previous prime is 467163821. The next prime is 467163847. The reversal of 467163840 is 48361764.

467163840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×467163840³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467163847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5628439 + ... + 5628521.

It is an arithmetic number, because the mean of its divisors is an integer number (4032504).

Almost surely, 2^467163840 is an apocalyptic number.

467163840 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 467163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903280896).

467163840 is an abundant number, since it is smaller than the sum of its proper divisors (1339397952).

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

467163840 is a wasteful number, since it uses less digits than its factorization.

467163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 467163840 is about 21613.9732580569. The cubic root of 467163840 is about 775.9309464894.

The spelling of 467163840 in words is "four hundred sixty-seven million, one hundred sixty-three thousand, eight hundred forty".