444699840 has 168 divisors, whose sum is σ = 1529443728. Its totient is φ = 109424640.

The previous prime is 444699809. The next prime is 444699841. The reversal of 444699840 is 48996444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 444699840.

It is not an unprimeable number, because it can be changed into a prime (444699841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160870 + ... + 163610.

Almost surely, 2^444699840 is an apocalyptic number.

444699840 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 444699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764721864).

444699840 is an abundant number, since it is smaller than the sum of its proper divisors (1084743888).

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

444699840 is a wasteful number, since it uses less digits than its factorization.

444699840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 444699840 is about 21087.9074353052. The cubic root of 444699840 is about 763.2889778430.

The spelling of 444699840 in words is "four hundred forty-four million, six hundred ninety-nine thousand, eight hundred forty".