445466760 has 128 divisors (see below), whose sum is σ = 1408942080. Its totient is φ = 112451328.

The previous prime is 445466699. The next prime is 445466779. The reversal of 445466760 is 67664544.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283497 + ... + 285063.

It is an arithmetic number, because the mean of its divisors is an integer number (11007360).

Almost surely, 2^445466760 is an apocalyptic number.

445466760 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 445466760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704471040).

445466760 is an abundant number, since it is smaller than the sum of its proper divisors (963475320).

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

445466760 is a wasteful number, since it uses less digits than its factorization.

445466760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 445466760 is about 21106.0834832046. The cubic root of 445466760 is about 763.7275098894.

The spelling of 445466760 in words is "four hundred forty-five million, four hundred sixty-six thousand, seven hundred sixty".