445404960 has 768 divisors, whose sum is σ = 2113413120. Its totient is φ = 84602880.

The previous prime is 445404917. The next prime is 445405003. The reversal of 445404960 is 69404544.

It is an interprime number because it is at equal distance from previous prime (445404917) and next prime (445405003).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4324269 + ... + 4324371.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2^445404960 is an apocalyptic number.

445404960 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 445404960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056706560).

445404960 is an abundant number, since it is smaller than the sum of its proper divisors (1668008160).

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

445404960 is a wasteful number, since it uses less digits than its factorization.

445404960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 445404960 is about 21104.6193995533. The cubic root of 445404960 is about 763.6921907238.

The spelling of 445404960 in words is "four hundred forty-five million, four hundred four thousand, nine hundred sixty".