466078640 has 80 divisors (see below), whose sum is σ = 1124660160. Its totient is φ = 179481600.

The previous prime is 466078631. The next prime is 466078651. The reversal of 466078640 is 46870664.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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, 298181 + ... + 299739.

It is an arithmetic number, because the mean of its divisors is an integer number (14058252).

Almost surely, 2^466078640 is an apocalyptic number.

466078640 is a gapful number since it is divisible by the number (40) 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 466078640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562330080).

466078640 is an abundant number, since it is smaller than the sum of its proper divisors (658581520).

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

466078640 is a wasteful number, since it uses less digits than its factorization.

466078640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The square root of 466078640 is about 21588.8545319107. The cubic root of 466078640 is about 775.3296634272.

The spelling of 466078640 in words is "four hundred sixty-six million, seventy-eight thousand, six hundred forty".