385944480 has 192 divisors, whose sum is σ = 1384387200. Its totient is φ = 100362240.

The previous prime is 385944443. The next prime is 385944487. The reversal of 385944480 is 84449583.

It is a happy number.

385944480 is a `hidden beast` number, since 3 + 85 + 94 + 4 + 480 = 666.

It is a super-3 number, since 3×385944480³ (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (385944487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176031 + ... + 178209.

It is an arithmetic number, because the mean of its divisors is an integer number (7210350).

Almost surely, 2^385944480 is an apocalyptic number.

385944480 is a gapful number since it is divisible by the number (30) 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 385944480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692193600).

385944480 is an abundant number, since it is smaller than the sum of its proper divisors (998442720).

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

385944480 is a wasteful number, since it uses less digits than its factorization.

385944480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 385944480 is about 19645.4697067797. The cubic root of 385944480 is about 728.0730313563.

The spelling of 385944480 in words is "three hundred eighty-five million, nine hundred forty-four thousand, four hundred eighty".