466508672 has 128 divisors (see below), whose sum is σ = 1137504000. Its totient is φ = 186126336.

The previous prime is 466508671. The next prime is 466508687. The reversal of 466508672 is 276805664.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466508671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1140404 + ... + 1140812.

It is an arithmetic number, because the mean of its divisors is an integer number (8886750).

Almost surely, 2^466508672 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 466508672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568752000).

466508672 is an abundant number, since it is smaller than the sum of its proper divisors (670995328).

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

466508672 is a wasteful number, since it uses less digits than its factorization.

466508672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The square root of 466508672 is about 21598.8118191719. The cubic root of 466508672 is about 775.5680452841.

The spelling of 466508672 in words is "four hundred sixty-six million, five hundred eight thousand, six hundred seventy-two".