385786440 has 288 divisors, whose sum is σ = 1441388520. Its totient is φ = 89137152.

The previous prime is 385786439. The next prime is 385786441. The reversal of 385786440 is 44687583.

385786440 is a `hidden beast` number, since 38 + 578 + 6 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (385786439) and next prime (385786441).

It can be written as a sum of positive squares in 12 ways, for example, as 3896676 + 381889764 = 1974^2 + 19542^2 .

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 (385786441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1034094 + ... + 1034466.

Almost surely, 2^385786440 is an apocalyptic number.

385786440 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 385786440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720694260).

385786440 is an abundant number, since it is smaller than the sum of its proper divisors (1055602080).

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

385786440 is a wasteful number, since it uses less digits than its factorization.

385786440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 385786440 is about 19641.4469935389. The cubic root of 385786440 is about 727.9736385012.

The spelling of 385786440 in words is "three hundred eighty-five million, seven hundred eighty-six thousand, four hundred forty".