466386768 has 80 divisors (see below), whose sum is σ = 1409185600. Its totient is φ = 147277440.

The previous prime is 466386763. The next prime is 466386773. The reversal of 466386768 is 867683664.

It is an interprime number because it is at equal distance from previous prime (466386763) and next prime (466386773).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466386763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20203 + ... + 36618.

It is an arithmetic number, because the mean of its divisors is an integer number (17614820).

Almost surely, 2^466386768 is an apocalyptic number.

466386768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

466386768 is an abundant number, since it is smaller than the sum of its proper divisors (942798832).

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

466386768 is a wasteful number, since it uses less digits than its factorization.

466386768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56857 (or 56845 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 466386768 is about 21595.9896277063. The cubic root of 466386768 is about 775.5004844940.

The spelling of 466386768 in words is "four hundred sixty-six million, three hundred eighty-six thousand, seven hundred sixty-eight".