445227720 has 256 divisors, whose sum is σ = 1615680000. Its totient is φ = 97993728.

The previous prime is 445227707. The next prime is 445227737. The reversal of 445227720 is 27722544.

It is a happy number.

445227720 is a nontrivial binomial coefficient, being equal to C(29841, 2).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1193454 + ... + 1193826.

It is an arithmetic number, because the mean of its divisors is an integer number (6311250).

Almost surely, 2^445227720 is an apocalyptic number.

445227720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

445227720 is the 29840-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445227720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807840000).

445227720 is an abundant number, since it is smaller than the sum of its proper divisors (1170452280).

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

445227720 is a wasteful number, since it uses less digits than its factorization.

445227720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 445227720 is about 21100.4199010351. The cubic root of 445227720 is about 763.5908786039.

The spelling of 445227720 in words is "four hundred forty-five million, two hundred twenty-seven thousand, seven hundred twenty".