466615968 has 192 divisors, whose sum is σ = 1557061632. Its totient is φ = 119024640.

The previous prime is 466615951. The next prime is 466615969. The reversal of 466615968 is 869516664.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 466615968.

It is not an unprimeable number, because it can be changed into a prime (466615969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269955 + ... + 271677.

It is an arithmetic number, because the mean of its divisors is an integer number (8109696).

Almost surely, 2^466615968 is an apocalyptic number.

466615968 is a gapful number since it is divisible by the number (48) 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 466615968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778530816).

466615968 is an abundant number, since it is smaller than the sum of its proper divisors (1090445664).

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

466615968 is a wasteful number, since it uses less digits than its factorization.

466615968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1779 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 466615968 is about 21601.2955167045. The cubic root of 466615968 is about 775.6275003918.

The spelling of 466615968 in words is "four hundred sixty-six million, six hundred fifteen thousand, nine hundred sixty-eight".