466450440 has 128 divisors (see below), whose sum is σ = 1447891200. Its totient is φ = 120135680.

The previous prime is 466450427. The next prime is 466450463. The reversal of 466450440 is 44054664.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555541 + ... + 556379.

It is an arithmetic number, because the mean of its divisors is an integer number (11311650).

Almost surely, 2^466450440 is an apocalyptic number.

466450440 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 466450440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723945600).

466450440 is an abundant number, since it is smaller than the sum of its proper divisors (981440760).

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

466450440 is a wasteful number, since it uses less digits than its factorization.

466450440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 466450440 is about 21597.4637399858. The cubic root of 466450440 is about 775.5357738171.

The spelling of 466450440 in words is "four hundred sixty-six million, four hundred fifty thousand, four hundred forty".