385521444 has 336 divisors, whose sum is σ = 1348534656. Its totient is φ = 93312000.

The previous prime is 385521431. The next prime is 385521473. The reversal of 385521444 is 444125583.

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 = 385521399 and 385521408.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3816994 + ... + 3817094.

It is an arithmetic number, because the mean of its divisors is an integer number (4013496).

Almost surely, 2^385521444 is an apocalyptic number.

385521444 is a gapful number since it is divisible by the number (34) 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 385521444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674267328).

385521444 is an abundant number, since it is smaller than the sum of its proper divisors (963013212).

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

385521444 is a wasteful number, since it uses less digits than its factorization.

385521444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 141 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 385521444 is about 19634.6999977081. The cubic root of 385521444 is about 727.8069190687.

The spelling of 385521444 in words is "three hundred eighty-five million, five hundred twenty-one thousand, four hundred forty-four".