444667860 has 192 divisors, whose sum is σ = 1702848000. Its totient is φ = 93809664.

The previous prime is 444667831. The next prime is 444667877. The reversal of 444667860 is 68766444.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44616 + ... + 53664.

It is an arithmetic number, because the mean of its divisors is an integer number (8869000).

Almost surely, 2^444667860 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 444667860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851424000).

444667860 is an abundant number, since it is smaller than the sum of its proper divisors (1258180140).

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

444667860 is a wasteful number, since it uses less digits than its factorization.

444667860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9087 (or 9079 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 444667860 is about 21087.1491672061. The cubic root of 444667860 is about 763.2706804324.

It can be divided in two parts, 44466 and 7860, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 444667860 in words is "four hundred forty-four million, six hundred sixty-seven thousand, eight hundred sixty".