444151260 has 288 divisors, whose sum is σ = 1620283392. Its totient is φ = 96353280.

The previous prime is 444151247. The next prime is 444151261. The reversal of 444151260 is 62151444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444151261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3241912 + ... + 3242048.

It is an arithmetic number, because the mean of its divisors is an integer number (5625984).

Almost surely, 2^444151260 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 444151260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810141696).

444151260 is an abundant number, since it is smaller than the sum of its proper divisors (1176132132).

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

444151260 is a wasteful number, since it uses less digits than its factorization.

444151260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 444151260 is about 21074.8964410267. The cubic root of 444151260 is about 762.9749852521.

The spelling of 444151260 in words is "four hundred forty-four million, one hundred fifty-one thousand, two hundred sixty".