445742220 has 288 divisors, whose sum is σ = 1608768000. Its totient is φ = 92104320.

The previous prime is 445742207. The next prime is 445742221. The reversal of 445742220 is 22247544.

It is a super-2 number, since 2×445742220² = 397372253381056800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (445742221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2490091 + ... + 2490269.

It is an arithmetic number, because the mean of its divisors is an integer number (5586000).

Almost surely, 2^445742220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445742220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804384000).

445742220 is an abundant number, since it is smaller than the sum of its proper divisors (1163025780).

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

445742220 is a wasteful number, since it uses less digits than its factorization.

445742220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 445742220 is about 21112.6080814285. The cubic root of 445742220 is about 763.8848976384.

Adding to 445742220 its reverse (22247544), we get a palindrome (467989764).

The spelling of 445742220 in words is "four hundred forty-five million, seven hundred forty-two thousand, two hundred twenty".