467241768 has 192 divisors, whose sum is σ = 1550016000. Its totient is φ = 124177536.

The previous prime is 467241739. The next prime is 467241791. The reversal of 467241768 is 867142764.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564571 + ... + 565397.

It is an arithmetic number, because the mean of its divisors is an integer number (8073000).

Almost surely, 2^467241768 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 467241768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775008000).

467241768 is an abundant number, since it is smaller than the sum of its proper divisors (1082774232).

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

467241768 is a wasteful number, since it uses less digits than its factorization.

467241768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 917 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 467241768 is about 21615.7759055742. The cubic root of 467241768 is about 775.9740886590.

The spelling of 467241768 in words is "four hundred sixty-seven million, two hundred forty-one thousand, seven hundred sixty-eight".