394444512 has 384 divisors, whose sum is σ = 1475712000. Its totient is φ = 102453120.

The previous prime is 394444499. The next prime is 394444517. The reversal of 394444512 is 215444493.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 (394444517) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35858587 + ... + 35858597.

It is an arithmetic number, because the mean of its divisors is an integer number (3843000).

Almost surely, 2^394444512 is an apocalyptic number.

394444512 is a gapful number since it is divisible by the number (32) 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 394444512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737856000).

394444512 is an abundant number, since it is smaller than the sum of its proper divisors (1081267488).

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

394444512 is an equidigital number, since it uses as much as digits as its factorization.

394444512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 23 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 394444512 is about 19860.6271804291. The cubic root of 394444512 is about 733.3792860093.

It can be divided in two parts, 39444 and 4512, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 394444512 in words is "three hundred ninety-four million, four hundred forty-four thousand, five hundred twelve".