466649568 has 216 divisors, whose sum is σ = 1667890224. Its totient is φ = 121144320.

The previous prime is 466649551. The next prime is 466649569. The reversal of 466649568 is 865946664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466649569) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 242980 + ... + 244892.

It is an arithmetic number, because the mean of its divisors is an integer number (7721714).

Almost surely, 2^466649568 is an apocalyptic number.

466649568 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 466649568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833945112).

466649568 is an abundant number, since it is smaller than the sum of its proper divisors (1201240656).

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

466649568 is a wasteful number, since it uses less digits than its factorization.

466649568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1936 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 466649568 is about 21602.0732338357. The cubic root of 466649568 is about 775.6461170275.

The spelling of 466649568 in words is "four hundred sixty-six million, six hundred forty-nine thousand, five hundred sixty-eight".