444381408 has 36 divisors (see below), whose sum is σ = 1263710448. Its totient is φ = 148127040.

The previous prime is 444381407. The next prime is 444381491. The reversal of 444381408 is 804183444.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444381407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 771208 + ... + 771783.

It is an arithmetic number, because the mean of its divisors is an integer number (35103068).

Almost surely, 2^444381408 is an apocalyptic number.

444381408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

444381408 is an abundant number, since it is smaller than the sum of its proper divisors (819329040).

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

444381408 is a wasteful number, since it uses less digits than its factorization.

444381408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543007 (or 1542996 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 444381408 is about 21080.3559742240. The cubic root of 444381408 is about 763.1067473051.

The spelling of 444381408 in words is "four hundred forty-four million, three hundred eighty-one thousand, four hundred eight".