445876760 has 64 divisors (see below), whose sum is σ = 1152126720. Its totient is φ = 152127360.

The previous prime is 445876729. The next prime is 445876789. The reversal of 445876760 is 67678544.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55307 + ... + 62853.

It is an arithmetic number, because the mean of its divisors is an integer number (18001980).

Almost surely, 2^445876760 is an apocalyptic number.

445876760 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 445876760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576063360).

445876760 is an abundant number, since it is smaller than the sum of its proper divisors (706249960).

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

445876760 is a wasteful number, since it uses less digits than its factorization.

445876760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7776 (or 7772 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 47.

The square root of 445876760 is about 21115.7940887858. The cubic root of 445876760 is about 763.9617452954.

It can be divided in two parts, 4458 and 76760, that added together give a palindrome (81218).

The spelling of 445876760 in words is "four hundred forty-five million, eight hundred seventy-six thousand, seven hundred sixty".