467871768 has 192 divisors, whose sum is σ = 1609228800. Its totient is φ = 123327360.

The previous prime is 467871763. The next prime is 467871779. The reversal of 467871768 is 867178764.

467871768 is a `hidden beast` number, since 467 + 8 + 7 + 176 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467871763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254613 + ... + 256443.

It is an arithmetic number, because the mean of its divisors is an integer number (8381400).

Almost surely, 2^467871768 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 467871768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804614400).

467871768 is an abundant number, since it is smaller than the sum of its proper divisors (1141357032).

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

467871768 is a wasteful number, since it uses less digits than its factorization.

467871768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1856 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The square root of 467871768 is about 21630.3436865899. The cubic root of 467871768 is about 776.3226905720.

The spelling of 467871768 in words is "four hundred sixty-seven million, eight hundred seventy-one thousand, seven hundred sixty-eight".