385459776 has 112 divisors (see below), whose sum is σ = 1220419200. Its totient is φ = 118596096.

The previous prime is 385459757. The next prime is 385459807. The reversal of 385459776 is 677954583.

385459776 is a `hidden beast` number, since 3 + 8 + 545 + 97 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13885 + ... + 31043.

It is an arithmetic number, because the mean of its divisors is an integer number (10896600).

Almost surely, 2^385459776 is an apocalyptic number.

385459776 is a gapful number since it is divisible by the number (36) 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 385459776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610209600).

385459776 is an abundant number, since it is smaller than the sum of its proper divisors (834959424).

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

385459776 is a wasteful number, since it uses less digits than its factorization.

385459776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17193 (or 17177 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 385459776 is about 19633.1295518570. The cubic root of 385459776 is about 727.7681103408.

The spelling of 385459776 in words is "three hundred eighty-five million, four hundred fifty-nine thousand, seven hundred seventy-six".