444832740 has 288 divisors, whose sum is σ = 1559900160. Its totient is φ = 101606400.

The previous prime is 444832699. The next prime is 444832741. The reversal of 444832740 is 47238444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 444832695 and 444832704.

It is not an unprimeable number, because it can be changed into a prime (444832741) 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, 3502557 + ... + 3502683.

It is an arithmetic number, because the mean of its divisors is an integer number (5416320).

Almost surely, 2^444832740 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 444832740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779950080).

444832740 is an abundant number, since it is smaller than the sum of its proper divisors (1115067420).

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

444832740 is a wasteful number, since it uses less digits than its factorization.

444832740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 444832740 is about 21091.0582949268. The cubic root of 444832740 is about 763.3650074045.

The spelling of 444832740 in words is "four hundred forty-four million, eight hundred thirty-two thousand, seven hundred forty".