445205880 has 384 divisors, whose sum is σ = 1761177600. Its totient is φ = 95385600.

The previous prime is 445205869. The next prime is 445205899. The reversal of 445205880 is 88502544.

445205880 is a `hidden beast` number, since 4 + 4 + 520 + 58 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3202851 + ... + 3202989.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^445205880 is an apocalyptic number.

445205880 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 445205880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880588800).

445205880 is an abundant number, since it is smaller than the sum of its proper divisors (1315971720).

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

445205880 is a wasteful number, since it uses less digits than its factorization.

445205880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 445205880 is about 21099.9023694424. The cubic root of 445205880 is about 763.5783927854.

The spelling of 445205880 in words is "four hundred forty-five million, two hundred five thousand, eight hundred eighty".