445505280 has 288 divisors, whose sum is σ = 1589414400. Its totient is φ = 105431040.

The previous prime is 445505251. The next prime is 445505287. The reversal of 445505280 is 82505544.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445505287) 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, 2238621 + ... + 2238819.

It is an arithmetic number, because the mean of its divisors is an integer number (5518800).

Almost surely, 2^445505280 is an apocalyptic number.

445505280 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 445505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794707200).

445505280 is an abundant number, since it is smaller than the sum of its proper divisors (1143909120).

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

445505280 is a wasteful number, since it uses less digits than its factorization.

445505280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 445505280 is about 21106.9959965884. The cubic root of 445505280 is about 763.7495227071.

The spelling of 445505280 in words is "four hundred forty-five million, five hundred five thousand, two hundred eighty".