445222560 has 96 divisors (see below), whose sum is σ = 1412752320. Its totient is φ = 117854208.

The previous prime is 445222507. The next prime is 445222577. The reversal of 445222560 is 65222544.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 63384 + ... + 70056.

It is an arithmetic number, because the mean of its divisors is an integer number (14716170).

Almost surely, 2^445222560 is an apocalyptic number.

445222560 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 445222560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706376160).

445222560 is an abundant number, since it is smaller than the sum of its proper divisors (967529760).

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

445222560 is a wasteful number, since it uses less digits than its factorization.

445222560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6830 (or 6822 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 445222560 is about 21100.2976282326. The cubic root of 445222560 is about 763.5879286946.

The spelling of 445222560 in words is "four hundred forty-five million, two hundred twenty-two thousand, five hundred sixty".