444452120 has 64 divisors (see below), whose sum is σ = 1145966400. Its totient is φ = 151971840.

The previous prime is 444452101. The next prime is 444452147. The reversal of 444452120 is 21254444.

It is a self number, because there is not a number n which added to its sum of digits gives 444452120.

It is a congruent number.

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, 112580 + ... + 116460.

It is an arithmetic number, because the mean of its divisors is an integer number (17905725).

Almost surely, 2^444452120 is an apocalyptic number.

444452120 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 444452120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572983200).

444452120 is an abundant number, since it is smaller than the sum of its proper divisors (701514280).

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

444452120 is a wasteful number, since it uses less digits than its factorization.

444452120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 444452120 is about 21082.0331087872. The cubic root of 444452120 is about 763.1472215025.

The spelling of 444452120 in words is "four hundred forty-four million, four hundred fifty-two thousand, one hundred twenty".