445075760 has 160 divisors (see below), whose sum is σ = 1178496000. Its totient is φ = 155409408.

The previous prime is 445075753. The next prime is 445075769. The reversal of 445075760 is 67570544.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (445075769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1013621 + ... + 1014059.

It is an arithmetic number, because the mean of its divisors is an integer number (7365600).

Almost surely, 2^445075760 is an apocalyptic number.

445075760 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 445075760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589248000).

445075760 is an abundant number, since it is smaller than the sum of its proper divisors (733420240).

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

445075760 is a wasteful number, since it uses less digits than its factorization.

445075760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 38.

The square root of 445075760 is about 21096.8187175223. The cubic root of 445075760 is about 763.5039953691.

The spelling of 445075760 in words is "four hundred forty-five million, seventy-five thousand, seven hundred sixty".